465208488 has 128 divisors (see below), whose sum is σ = 1395360000. Its totient is φ = 143168256.

The previous prime is 465208453. The next prime is 465208637. The reversal of 465208488 is 884802564.

465208488 is a `hidden beast` number, since 46 + 520 + 8 + 4 + 88 = 666.

It is a super-2 number, since 2×465208488² = 432837874614492288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142458 + ... + 145686.

It is an arithmetic number, because the mean of its divisors is an integer number (10901250).

Almost surely, 2^465208488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465208488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

465208488 is an abundant number, since it is smaller than the sum of its proper divisors (930151512).

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

465208488 is a wasteful number, since it uses less digits than its factorization.

465208488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 465208488 is about 21568.6923108472. The cubic root of 465208488 is about 774.8468586761.

The spelling of 465208488 in words is "four hundred sixty-five million, two hundred eight thousand, four hundred eighty-eight".