405679976504 has 128 divisors (see below), whose sum is σ = 880056576000. Its totient is φ = 173510937600.

The previous prime is 405679976501. The next prime is 405679976539.

405679976504 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405679976501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44926262 + ... + 44935290.

It is an arithmetic number, because the mean of its divisors is an integer number (6875442000).

Almost surely, 2^405679976504 is an apocalyptic number.

405679976504 is a gapful number since it is divisible by the number (44) 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 405679976504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440028288000).

405679976504 is an abundant number, since it is smaller than the sum of its proper divisors (474376599496).

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

405679976504 is a wasteful number, since it uses less digits than its factorization.

405679976504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 62.

The spelling of 405679976504 in words is "four hundred five billion, six hundred seventy-nine million, nine hundred seventy-six thousand, five hundred four".