405616616504 has 64 divisors (see below), whose sum is σ = 864914042880. Its totient is φ = 176657040000.

The previous prime is 405616616501. The next prime is 405616616557.

405616616504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405616616501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460544 + ... + 1011599.

It is an arithmetic number, because the mean of its divisors is an integer number (13514281920).

Almost surely, 2^405616616504 is an apocalyptic number.

405616616504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405616616504 is an abundant number, since it is smaller than the sum of its proper divisors (459297426376).

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

405616616504 is a wasteful number, since it uses less digits than its factorization.

405616616504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472292 (or 1472288 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 405616616504 in words is "four hundred five billion, six hundred sixteen million, six hundred sixteen thousand, five hundred four".