464506900 has 108 divisors (see below), whose sum is σ = 1193575516. Its totient is φ = 155865600.

The previous prime is 464506877. The next prime is 464506967. The reversal of 464506900 is 9605464.

It can be written as a sum of positive squares in 6 ways, for example, as 12859396 + 451647504 = 3586^2 + 21252^2 .

It is a super-2 number, since 2×464506900² = 431533320295220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155824 + ... + 158776.

Almost surely, 2^464506900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596787758).

464506900 is an abundant number, since it is smaller than the sum of its proper divisors (729068616).

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

464506900 is a wasteful number, since it uses less digits than its factorization.

464506900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 464506900 is about 21552.4221376624. The cubic root of 464506900 is about 774.4571432523.

The spelling of 464506900 in words is "four hundred sixty-four million, five hundred six thousand, nine hundred".