463009720 has 64 divisors (see below), whose sum is σ = 1077935040. Its totient is φ = 178867200.

The previous prime is 463009717. The next prime is 463009741. The reversal of 463009720 is 27900364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167550 + ... + 170290.

It is an arithmetic number, because the mean of its divisors is an integer number (16842735).

Almost surely, 2^463009720 is an apocalyptic number.

463009720 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 463009720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538967520).

463009720 is an abundant number, since it is smaller than the sum of its proper divisors (614925320).

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

463009720 is a wasteful number, since it uses less digits than its factorization.

463009720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 463009720 is about 21517.6606535190. The cubic root of 463009720 is about 773.6241812917.

The spelling of 463009720 in words is "four hundred sixty-three million, nine thousand, seven hundred twenty".