462360960 has 224 divisors, whose sum is σ = 1658911680. Its totient is φ = 123171840.

The previous prime is 462360947. The next prime is 462360971. The reversal of 462360960 is 69063264.

462360960 is a `hidden beast` number, since 46 + 2 + 3 + 609 + 6 + 0 = 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 27 ways as a sum of consecutive naturals, for example, 466065 + ... + 467055.

Almost surely, 2^462360960 is an apocalyptic number.

462360960 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 462360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829455840).

462360960 is an abundant number, since it is smaller than the sum of its proper divisors (1196550720).

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

462360960 is an frugal number, since it uses more digits than its factorization.

462360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 462360960 is about 21502.5803102790. The cubic root of 462360960 is about 773.2626834652.

The spelling of 462360960 in words is "four hundred sixty-two million, three hundred sixty thousand, nine hundred sixty".