465870480 has 80 divisors (see below), whose sum is σ = 1490809344. Its totient is φ = 120222720.

The previous prime is 465870473. The next prime is 465870527. The reversal of 465870480 is 84078564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×465870480³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23869 + ... + 38748.

Almost surely, 2^465870480 is an apocalyptic number.

465870480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465870480 is an abundant number, since it is smaller than the sum of its proper divisors (1024938864).

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

465870480 is a wasteful number, since it uses less digits than its factorization.

465870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62664 (or 62658 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 465870480 is about 21584.0329873729. The cubic root of 465870480 is about 775.2142203511.

The spelling of 465870480 in words is "four hundred sixty-five million, eight hundred seventy thousand, four hundred eighty".