461372560 has 40 divisors (see below), whose sum is σ = 1170210816. Its totient is φ = 167771520.

The previous prime is 461372521. The next prime is 461372563. The reversal of 461372560 is 65273164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (461372563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261264 + ... + 263023.

Almost surely, 2^461372560 is an apocalyptic number.

461372560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461372560 is an abundant number, since it is smaller than the sum of its proper divisors (708838256).

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

461372560 is a wasteful number, since it uses less digits than its factorization.

461372560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524311 (or 524305 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 461372560 is about 21479.5847259671. The cubic root of 461372560 is about 772.7112830329.

The spelling of 461372560 in words is "four hundred sixty-one million, three hundred seventy-two thousand, five hundred sixty".