405974565479504 has 120 divisors (see below), whose sum is σ = 955046074264128. Its totient is φ = 163735099637760.

The previous prime is 405974565479423. The next prime is 405974565479573.

405974565479504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×405974565479504² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274812119 + ... + 276285449.

Almost surely, 2^{405974565479504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405974565479504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477523037132064).

405974565479504 is an abundant number, since it is smaller than the sum of its proper divisors (549071508784624).

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

405974565479504 is a wasteful number, since it uses less digits than its factorization.

405974565479504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481893 (or 1481870 counting only the distinct ones).

The product of its (nonzero) digits is 3810240000, while the sum is 74.

The spelling of 405974565479504 in words is "four hundred five trillion, nine hundred seventy-four billion, five hundred sixty-five million, four hundred seventy-nine thousand, five hundred four".