46920464400 has 120 divisors (see below), whose sum is σ = 152113076640. Its totient is φ = 12361349120.

The previous prime is 46920464399. The next prime is 46920464449. The reversal of 46920464400 is 446402964.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 135945 + ... + 335144.

It is an arithmetic number, because the mean of its divisors is an integer number (1267608972).

Almost surely, 2^46920464400 is an apocalyptic number.

46920464400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46920464400 is an abundant number, since it is smaller than the sum of its proper divisors (105192612240).

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

46920464400 is a wasteful number, since it uses less digits than its factorization.

46920464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471193 (or 471182 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 46920464400 in words is "forty-six billion, nine hundred twenty million, four hundred sixty-four thousand, four hundred".