464892966900 has 216 divisors, whose sum is σ = 1485061061120. Its totient is φ = 121619646720.

The previous prime is 464892966877. The next prime is 464892966949. The reversal of 464892966900 is 9669298464.

464892966900 is a `hidden beast` number, since 4 + 6 + 489 + 2 + 9 + 66 + 90 + 0 = 666.

It is a super-2 number, since 2×464892966900² (a number of 24 digits) 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 71 ways as a sum of consecutive naturals, for example, 11141877 + ... + 11183523.

Almost surely, 2^464892966900 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 464892966900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742530530560).

464892966900 is an abundant number, since it is smaller than the sum of its proper divisors (1020168094220).

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

464892966900 is a wasteful number, since it uses less digits than its factorization.

464892966900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41903 (or 41893 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 464892966900 in words is "four hundred sixty-four billion, eight hundred ninety-two million, nine hundred sixty-six thousand, nine hundred".