462801920 has 176 divisors, whose sum is σ = 1306804800. Its totient is φ = 153944064.

The previous prime is 462801917. The next prime is 462801947. The reversal of 462801920 is 29108264.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1325906 + ... + 1326254.

Almost surely, 2^462801920 is an apocalyptic number.

462801920 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 462801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653402400).

462801920 is an abundant number, since it is smaller than the sum of its proper divisors (844002880).

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

462801920 is a wasteful number, since it uses less digits than its factorization.

462801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 462801920 is about 21512.8315198163. The cubic root of 462801920 is about 773.5084291065.

The spelling of 462801920 in words is "four hundred sixty-two million, eight hundred one thousand, nine hundred twenty".