405939477152 has 36 divisors (see below), whose sum is σ = 878452198218. Its totient is φ = 184517942400.

The previous prime is 405939477091. The next prime is 405939477157. The reversal of 405939477152 is 251774939504.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 266425274896 + 139514202256 = 516164^2 + 373516^2 .

It is a super-2 number, since 2×405939477152² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405939477157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52415999 + ... + 52423742.

Almost surely, 2^405939477152 is an apocalyptic number.

It is an amenable number.

405939477152 is an abundant number, since it is smaller than the sum of its proper divisors (472512721066).

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

405939477152 is a wasteful number, since it uses less digits than its factorization.

405939477152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104839773 (or 104839754 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 405939477152 in words is "four hundred five billion, nine hundred thirty-nine million, four hundred seventy-seven thousand, one hundred fifty-two".