461562880 has 44 divisors (see below), whose sum is σ = 1107222300. Its totient is φ = 184623104.

The previous prime is 461562859. The next prime is 461562883. The reversal of 461562880 is 88265164.

It can be written as a sum of positive squares in 2 ways, for example, as 72999936 + 388562944 = 8544^2 + 19712^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (461562883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39955 + ... + 50194.

Almost surely, 2^461562880 is an apocalyptic number.

461562880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461562880 is an abundant number, since it is smaller than the sum of its proper divisors (645659420).

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

461562880 is an equidigital number, since it uses as much as digits as its factorization.

461562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90174 (or 90156 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 461562880 is about 21484.0145224304. The cubic root of 461562880 is about 772.8175183600.

The spelling of 461562880 in words is "four hundred sixty-one million, five hundred sixty-two thousand, eight hundred eighty".