464997600 has 432 divisors, whose sum is σ = 1809727920. Its totient is φ = 111820800.

The previous prime is 464997587. The next prime is 464997653. The reversal of 464997600 is 6799464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3549535 + ... + 3549665.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^464997600 is an apocalyptic number.

464997600 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 464997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904863960).

464997600 is an abundant number, since it is smaller than the sum of its proper divisors (1344730320).

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

464997600 is a wasteful number, since it uses less digits than its factorization.

464997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 464997600 is about 21563.8030041085. The cubic root of 464997600 is about 774.7297566266.

The spelling of 464997600 in words is "four hundred sixty-four million, nine hundred ninety-seven thousand, six hundred".