465515220 has 96 divisors (see below), whose sum is σ = 1351203840. Its totient is φ = 119623680.

The previous prime is 465515209. The next prime is 465515231. The reversal of 465515220 is 22515564.

It is an interprime number because it is at equal distance from previous prime (465515209) and next prime (465515231).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 656226 + ... + 656934.

It is an arithmetic number, because the mean of its divisors is an integer number (14075040).

Almost surely, 2^465515220 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 465515220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675601920).

465515220 is an abundant number, since it is smaller than the sum of its proper divisors (885688620).

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

465515220 is a wasteful number, since it uses less digits than its factorization.

465515220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 465515220 is about 21575.8017232269. The cubic root of 465515220 is about 775.0171179015.

The spelling of 465515220 in words is "four hundred sixty-five million, five hundred fifteen thousand, two hundred twenty".