461295240 has 64 divisors (see below), whose sum is σ = 1581586560. Its totient is φ = 105438720.

The previous prime is 461295239. The next prime is 461295259. The reversal of 461295240 is 42592164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273741 + ... + 275420.

It is an arithmetic number, because the mean of its divisors is an integer number (24712290).

Almost surely, 2^461295240 is an apocalyptic number.

461295240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461295240 is an abundant number, since it is smaller than the sum of its proper divisors (1120291320).

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

461295240 is a wasteful number, since it uses less digits than its factorization.

461295240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549182 (or 549178 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 461295240 is about 21477.7848019762. The cubic root of 461295240 is about 772.6681151902.

The spelling of 461295240 in words is "four hundred sixty-one million, two hundred ninety-five thousand, two hundred forty".