461529900 has 252 divisors, whose sum is σ = 1620420592. Its totient is φ = 113374080.

The previous prime is 461529877. The next prime is 461529911. The reversal of 461529900 is 9925164.

461529900 is a `hidden beast` number, since 46 + 1 + 529 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947457 + ... + 947943.

Almost surely, 2^461529900 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 461529900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810210296).

461529900 is an abundant number, since it is smaller than the sum of its proper divisors (1158890692).

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

461529900 is a wasteful number, since it uses less digits than its factorization.

461529900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 461529900 is about 21483.2469612952. The cubic root of 461529900 is about 772.7991112408.

The spelling of 461529900 in words is "four hundred sixty-one million, five hundred twenty-nine thousand, nine hundred".