465060960 has 576 divisors, whose sum is σ = 2051179200. Its totient is φ = 98122752.

The previous prime is 465060923. The next prime is 465060983. The reversal of 465060960 is 69060564.

It is a happy number.

465060960 is a `hidden beast` number, since 46 + 5 + 0 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×465060960² = 432563393032243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 35773914 + ... + 35773926.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2^465060960 is an apocalyptic number.

465060960 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 465060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025589600).

465060960 is an abundant number, since it is smaller than the sum of its proper divisors (1586118240).

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

465060960 is a wasteful number, since it uses less digits than its factorization.

465060960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 465060960 is about 21565.2720826796. The cubic root of 465060960 is about 774.7649429358.

The spelling of 465060960 in words is "four hundred sixty-five million, sixty thousand, nine hundred sixty".