461257200 has 120 divisors (see below), whose sum is σ = 1641772400. Its totient is φ = 122999040.

The previous prime is 461257193. The next prime is 461257211. The reversal of 461257200 is 2752164.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10555 + ... + 32154.

Almost surely, 2^461257200 is an apocalyptic number.

461257200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461257200 is an abundant number, since it is smaller than the sum of its proper divisors (1180515200).

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

461257200 is a wasteful number, since it uses less digits than its factorization.

461257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42736 (or 42719 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 461257200 is about 21476.8992175314. The cubic root of 461257200 is about 772.6468756452.

The spelling of 461257200 in words is "four hundred sixty-one million, two hundred fifty-seven thousand, two hundred".