461945520 has 120 divisors (see below), whose sum is σ = 1555431696. Its totient is φ = 122863104.

The previous prime is 461945513. The next prime is 461945531. The reversal of 461945520 is 25549164.

461945520 is a `hidden beast` number, since 46 + 1 + 94 + 5 + 520 = 666.

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 (36).

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, 422094 + ... + 423186.

Almost surely, 2^461945520 is an apocalyptic number.

461945520 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 461945520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777715848).

461945520 is an abundant number, since it is smaller than the sum of its proper divisors (1093486176).

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

461945520 is a wasteful number, since it uses less digits than its factorization.

461945520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 461945520 is about 21492.9179033467. The cubic root of 461945520 is about 773.0310170547.

The spelling of 461945520 in words is "four hundred sixty-one million, nine hundred forty-five thousand, five hundred twenty".