333873540 has 576 divisors, whose sum is σ = 1452971520. Its totient is φ = 59719680.

The previous prime is 333873517. The next prime is 333873541. The reversal of 333873540 is 45378333.

It is a happy number.

333873540 is a `hidden beast` number, since 3 + 33 + 87 + 3 + 540 = 666.

333873540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333873540² = 222943081424263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 333873495 and 333873504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333873541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3063006 + ... + 3063114.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^333873540 is an apocalyptic number.

333873540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333873540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

333873540 is an abundant number, since it is smaller than the sum of its proper divisors (1119097980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333873540 is a wasteful number, since it uses less digits than its factorization.

333873540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 333873540 is about 18272.2067632785. The cubic root of 333873540 is about 693.7356305765.

The spelling of 333873540 in words is "three hundred thirty-three million, eight hundred seventy-three thousand, five hundred forty".