463591920 has 160 divisors (see below), whose sum is σ = 1606397184. Its totient is φ = 109619200.

The previous prime is 463591903. The next prime is 463591927. The reversal of 463591920 is 29195364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463591927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106099 + ... + 110381.

Almost surely, 2^463591920 is an apocalyptic number.

463591920 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 463591920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803198592).

463591920 is an abundant number, since it is smaller than the sum of its proper divisors (1142805264).

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

463591920 is a wasteful number, since it uses less digits than its factorization.

463591920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 463591920 is about 21531.1848257359. The cubic root of 463591920 is about 773.9483036068.

The spelling of 463591920 in words is "four hundred sixty-three million, five hundred ninety-one thousand, nine hundred twenty".