467274240 has 240 divisors, whose sum is σ = 1714932648. Its totient is φ = 117178368.

The previous prime is 467274173. The next prime is 467274263. The reversal of 467274240 is 42472764.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 424030464 + 43243776 = 20592^2 + 6576^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 467274195 and 467274204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391084 + ... + 392276.

Almost surely, 2^467274240 is an apocalyptic number.

467274240 is a gapful number since it is divisible by the number (40) 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 467274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857466324).

467274240 is an abundant number, since it is smaller than the sum of its proper divisors (1247658408).

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

467274240 is a wasteful number, since it uses less digits than its factorization.

467274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 467274240 is about 21616.5270106000. The cubic root of 467274240 is about 775.9920642544.

The spelling of 467274240 in words is "four hundred sixty-seven million, two hundred seventy-four thousand, two hundred forty".