464600480 has 48 divisors (see below), whose sum is σ = 1162191240. Its totient is φ = 174907392.

The previous prime is 464600473. The next prime is 464600519. The reversal of 464600480 is 84006464.

It can be written as a sum of positive squares in 4 ways, for example, as 381499024 + 83101456 = 19532^2 + 9116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 82685 + ... + 88124.

Almost surely, 2^464600480 is an apocalyptic number.

464600480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464600480 is an abundant number, since it is smaller than the sum of its proper divisors (697590760).

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

464600480 is a wasteful number, since it uses less digits than its factorization.

464600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170841 (or 170833 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 464600480 is about 21554.5930140191. The cubic root of 464600480 is about 774.5091473834.

The spelling of 464600480 in words is "four hundred sixty-four million, six hundred thousand, four hundred eighty".