462089480 has 32 divisors (see below), whose sum is σ = 1075555800. Its totient is φ = 178461696.

The previous prime is 462089447. The next prime is 462089491. The reversal of 462089480 is 84980264.

It can be written as a sum of positive squares in 4 ways, for example, as 450543076 + 11546404 = 21226^2 + 3398^2 .

It is a super-4 number, since 4×462089480⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198017 + ... + 200336.

Almost surely, 2^462089480 is an apocalyptic number.

462089480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462089480 is an abundant number, since it is smaller than the sum of its proper divisors (613466320).

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

462089480 is a wasteful number, since it uses less digits than its factorization.

462089480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398393 (or 398389 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 462089480 is about 21496.2666526074. The cubic root of 462089480 is about 773.1113107849. Note that the first 3 decimals are identical.

The spelling of 462089480 in words is "four hundred sixty-two million, eighty-nine thousand, four hundred eighty".