462622480 has 40 divisors (see below), whose sum is σ = 1082477592. Its totient is φ = 183865344.

The previous prime is 462622463. The next prime is 462622493. The reversal of 462622480 is 84226264.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 455737104 = 2624^2 + 21348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5857 + ... + 30976.

Almost surely, 2^462622480 is an apocalyptic number.

462622480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462622480 is an abundant number, since it is smaller than the sum of its proper divisors (619855112).

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

462622480 is a wasteful number, since it uses less digits than its factorization.

462622480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37003 (or 36997 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 462622480 is about 21508.6605812635. The cubic root of 462622480 is about 773.4084465949.

The spelling of 462622480 in words is "four hundred sixty-two million, six hundred twenty-two thousand, four hundred eighty".