464628904800 has 72 divisors (see below), whose sum is σ = 1512367092936. Its totient is φ = 123901040640.

The previous prime is 464628904757. The next prime is 464628904801. The reversal of 464628904800 is 8409826464.

It is a super-3 number, since 3×464628904800³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464628904801) 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 11 ways as a sum of consecutive naturals, for example, 96795289 + ... + 96800088.

It is an arithmetic number, because the mean of its divisors is an integer number (21005098513).

Almost surely, 2^464628904800 is an apocalyptic number.

464628904800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464628904800 is an abundant number, since it is smaller than the sum of its proper divisors (1047738188136).

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

464628904800 is a wasteful number, since it uses less digits than its factorization.

464628904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193595400 (or 193595387 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 464628904800 in words is "four hundred sixty-four billion, six hundred twenty-eight million, nine hundred four thousand, eight hundred".