465200480 has 48 divisors (see below), whose sum is σ = 1101159360. Its totient is φ = 185720832.

The previous prime is 465200479. The next prime is 465200581. The reversal of 465200480 is 84002564.

It is a super-2 number, since 2×465200480² = 432822973184460800, which contains 22 as substring.

It is a congruent number.

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, 89801 + ... + 94839.

It is an arithmetic number, because the mean of its divisors is an integer number (22940820).

Almost surely, 2^465200480 is an apocalyptic number.

465200480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465200480 is an abundant number, since it is smaller than the sum of its proper divisors (635958880).

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

465200480 is a wasteful number, since it uses less digits than its factorization.

465200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 465200480 is about 21568.5066706066. The cubic root of 465200480 is about 774.8424126343.

The spelling of 465200480 in words is "four hundred sixty-five million, two hundred thousand, four hundred eighty".