465907680 has 576 divisors, whose sum is σ = 1985679360. Its totient is φ = 101606400.

The previous prime is 465907679. The next prime is 465907693. The reversal of 465907680 is 86709564.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6562045 + ... + 6562115.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^465907680 is an apocalyptic number.

465907680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992839680).

465907680 is an abundant number, since it is smaller than the sum of its proper divisors (1519771680).

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

465907680 is a wasteful number, since it uses less digits than its factorization.

465907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 465907680 is about 21584.8947182978. The cubic root of 465907680 is about 775.2348535547.

The spelling of 465907680 in words is "four hundred sixty-five million, nine hundred seven thousand, six hundred eighty".