46404264400 has 60 divisors (see below), whose sum is σ = 120062123692. Its totient is φ = 17133880320.

The previous prime is 46404264383. The next prime is 46404264461. The reversal of 46404264400 is 446240464.

46404264400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4798055824 + 41606208576 = 69268^2 + 203976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4456749 + ... + 4467148.

Almost surely, 2^46404264400 is an apocalyptic number.

46404264400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46404264400 is an abundant number, since it is smaller than the sum of its proper divisors (73657859292).

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

46404264400 is a wasteful number, since it uses less digits than its factorization.

46404264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923928 (or 8923917 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 46404264400 in words is "forty-six billion, four hundred four million, two hundred sixty-four thousand, four hundred".