405125504 has 64 divisors (see below), whose sum is σ = 976678560. Its totient is φ = 163405824.

The previous prime is 405125449. The next prime is 405125507. The reversal of 405125504 is 405521504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405125507) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1934 + ... + 28530.

Almost surely, 2^405125504 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 405125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488339280).

405125504 is an abundant number, since it is smaller than the sum of its proper divisors (571553056).

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

405125504 is a wasteful number, since it uses less digits than its factorization.

405125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26635 (or 26623 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 405125504 is about 20127.7297279152. The cubic root of 405125504 is about 739.9400389692.

Subtracting from 405125504 its product of nonzero digits (4000), we obtain a palindrome (405121504).

The spelling of 405125504 in words is "four hundred five million, one hundred twenty-five thousand, five hundred four".