461637120 has 320 divisors, whose sum is σ = 1747316736. Its totient is φ = 101744640.

The previous prime is 461637103. The next prime is 461637131. The reversal of 461637120 is 21736164.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666422 + ... + 1666698.

Almost surely, 2^461637120 is an apocalyptic number.

461637120 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 461637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873658368).

461637120 is an abundant number, since it is smaller than the sum of its proper divisors (1285679616).

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

461637120 is a wasteful number, since it uses less digits than its factorization.

461637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 461637120 is about 21485.7422492219. The cubic root of 461637120 is about 772.8589507045.

The spelling of 461637120 in words is "four hundred sixty-one million, six hundred thirty-seven thousand, one hundred twenty".