461562160 has 80 divisors (see below), whose sum is σ = 1141159104. Its totient is φ = 173229056.

The previous prime is 461562151. The next prime is 461562169. The reversal of 461562160 is 61265164.

It is an interprime number because it is at equal distance from previous prime (461562151) and next prime (461562169).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (461562169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95154 + ... + 99886.

Almost surely, 2^461562160 is an apocalyptic number.

461562160 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 461562160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570579552).

461562160 is an abundant number, since it is smaller than the sum of its proper divisors (679596944).

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

461562160 is a wasteful number, since it uses less digits than its factorization.

461562160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 461562160 is about 21483.9977657791. The cubic root of 461562160 is about 772.8171165160.

The spelling of 461562160 in words is "four hundred sixty-one million, five hundred sixty-two thousand, one hundred sixty".