462252960 has 192 divisors, whose sum is σ = 1742549760. Its totient is φ = 113771520.

The previous prime is 462252929. The next prime is 462252971. The reversal of 462252960 is 69252264.

462252960 is a `hidden beast` number, since 4 + 622 + 5 + 29 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52045 + ... + 60275.

It is an arithmetic number, because the mean of its divisors is an integer number (9075780).

Almost surely, 2^462252960 is an apocalyptic number.

462252960 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 462252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871274880).

462252960 is an abundant number, since it is smaller than the sum of its proper divisors (1280296800).

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

462252960 is a wasteful number, since it uses less digits than its factorization.

462252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 462252960 is about 21500.0688370991. The cubic root of 462252960 is about 773.2024715815.

The spelling of 462252960 in words is "four hundred sixty-two million, two hundred fifty-two thousand, nine hundred sixty".