462864384 has 180 divisors, whose sum is σ = 1386961576. Its totient is φ = 148635648.

The previous prime is 462864383. The next prime is 462864403. The reversal of 462864384 is 483468264.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (462864383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6340572 + ... + 6340644.

Almost surely, 2^462864384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693480788).

462864384 is an abundant number, since it is smaller than the sum of its proper divisors (924097192).

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

462864384 is an equidigital number, since it uses as much as digits as its factorization.

462864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 462864384 is about 21514.2832555491. The cubic root of 462864384 is about 773.5432274762.

The spelling of 462864384 in words is "four hundred sixty-two million, eight hundred sixty-four thousand, three hundred eighty-four".