463905720 has 96 divisors (see below), whose sum is σ = 1514232720. Its totient is φ = 123171840.

The previous prime is 463905719. The next prime is 463905737. The reversal of 463905720 is 27509364.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84087 + ... + 89433.

Almost surely, 2^463905720 is an apocalyptic number.

463905720 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 463905720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757116360).

463905720 is an abundant number, since it is smaller than the sum of its proper divisors (1050327000).

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

463905720 is a wasteful number, since it uses less digits than its factorization.

463905720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 463905720 is about 21538.4706978003. The cubic root of 463905720 is about 774.1228897678.

The spelling of 463905720 in words is "four hundred sixty-three million, nine hundred five thousand, seven hundred twenty".