462483360 has 72 divisors (see below), whose sum is σ = 1578229380. Its totient is φ = 123328512.

The previous prime is 462483347. The next prime is 462483377. The reversal of 462483360 is 63384264.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 449609616 + 12873744 = 21204^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 159145 + ... + 162024.

Almost surely, 2^462483360 is an apocalyptic number.

462483360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462483360 is an abundant number, since it is smaller than the sum of its proper divisors (1115746020).

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

462483360 is a wasteful number, since it uses less digits than its factorization.

462483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321190 (or 321179 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 462483360 is about 21505.4262919850. The cubic root of 462483360 is about 773.3309122662.

The spelling of 462483360 in words is "four hundred sixty-two million, four hundred eighty-three thousand, three hundred sixty".