462438720 has 336 divisors, whose sum is σ = 1741871040. Its totient is φ = 116453376.

The previous prime is 462438719. The next prime is 462438737. The reversal of 462438720 is 27834264.

462438720 is a `hidden beast` number, since 4 + 624 + 3 + 8 + 7 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1477284 + ... + 1477596.

It is an arithmetic number, because the mean of its divisors is an integer number (5184140).

Almost surely, 2^462438720 is an apocalyptic number.

462438720 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 462438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870935520).

462438720 is an abundant number, since it is smaller than the sum of its proper divisors (1279432320).

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

462438720 is a wasteful number, since it uses less digits than its factorization.

462438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 462438720 is about 21504.3883893497. The cubic root of 462438720 is about 773.3060302159.

The spelling of 462438720 in words is "four hundred sixty-two million, four hundred thirty-eight thousand, seven hundred twenty".