464985600 has 120 divisors (see below), whose sum is σ = 1536177720. Its totient is φ = 123985920.

The previous prime is 464985583. The next prime is 464985611. The reversal of 464985600 is 6589464.

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

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, 32346 + ... + 44454.

It is an arithmetic number, because the mean of its divisors is an integer number (12801481).

Almost surely, 2^464985600 is an apocalyptic number.

464985600 is a gapful number since it is divisible by the number (40) 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 464985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768088860).

464985600 is an abundant number, since it is smaller than the sum of its proper divisors (1071192120).

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

464985600 is a wasteful number, since it uses less digits than its factorization.

464985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 464985600 is about 21563.5247582579. The cubic root of 464985600 is about 774.7230921929.

The spelling of 464985600 in words is "four hundred sixty-four million, nine hundred eighty-five thousand, six hundred".