465420516 has 96 divisors (see below), whose sum is σ = 1210204800. Its totient is φ = 138040320.

The previous prime is 465420493. The next prime is 465420533. The reversal of 465420516 is 615024564.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2032290 + ... + 2032518.

It is an arithmetic number, because the mean of its divisors is an integer number (12606300).

Almost surely, 2^465420516 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 465420516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605102400).

465420516 is an abundant number, since it is smaller than the sum of its proper divisors (744784284).

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

465420516 is a wasteful number, since it uses less digits than its factorization.

465420516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 465420516 is about 21573.6069306920. The cubic root of 465420516 is about 774.9645580740.

The spelling of 465420516 in words is "four hundred sixty-five million, four hundred twenty thousand, five hundred sixteen".