465953460 has 96 divisors (see below), whose sum is σ = 1505667072. Its totient is φ = 105459840.

The previous prime is 465953447. The next prime is 465953483. The reversal of 465953460 is 64359564.

It is a super-2 number, since 2×465953460² = 434225253771943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 37875 + ... + 48645.

It is an arithmetic number, because the mean of its divisors is an integer number (15684032).

Almost surely, 2^465953460 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 465953460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752833536).

465953460 is an abundant number, since it is smaller than the sum of its proper divisors (1039713612).

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

465953460 is a wasteful number, since it uses less digits than its factorization.

465953460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10893 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 465953460 is about 21585.9551560731. The cubic root of 465953460 is about 775.2602441995.

The spelling of 465953460 in words is "four hundred sixty-five million, nine hundred fifty-three thousand, four hundred sixty".