1405752240 has 320 divisors, whose sum is σ = 4809692160. Its totient is φ = 338411520.

The previous prime is 1405752233. The next prime is 1405752269. The reversal of 1405752240 is 422575041.

It is a super-3 number, since 3×1405752240³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1405752198 and 1405752207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13648029 + ... + 13648131.

It is an arithmetic number, because the mean of its divisors is an integer number (15030288).

Almost surely, 2^1405752240 is an apocalyptic number.

1405752240 is a gapful number since it is divisible by the number (10) 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 1405752240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404846080).

1405752240 is an abundant number, since it is smaller than the sum of its proper divisors (3403939920).

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

1405752240 is a wasteful number, since it uses less digits than its factorization.

1405752240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1405752240 is about 37493.3626126012. The cubic root of 1405752240 is about 1120.2189835419.

The spelling of 1405752240 in words is "one billion, four hundred five million, seven hundred fifty-two thousand, two hundred forty".