462794240 has 40 divisors (see below), whose sum is σ = 1109627640. Its totient is φ = 185116672.

The previous prime is 462794237. The next prime is 462794263. The reversal of 462794240 is 42497264.

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

It is a junction number, because it is equal to n+sod(n) for n = 462794194 and 462794203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87830 + ... + 92949.

It is an arithmetic number, because the mean of its divisors is an integer number (27740691).

Almost surely, 2^462794240 is an apocalyptic number.

462794240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462794240 is an abundant number, since it is smaller than the sum of its proper divisors (646833400).

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

462794240 is an equidigital number, since it uses as much as digits as its factorization.

462794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180802 (or 180786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 462794240 is about 21512.6530209549. The cubic root of 462794240 is about 773.5041504023.

The spelling of 462794240 in words is "four hundred sixty-two million, seven hundred ninety-four thousand, two hundred forty".