465460560 has 160 divisors (see below), whose sum is σ = 1618289280. Its totient is φ = 122959872.

The previous prime is 465460531. The next prime is 465460661. The reversal of 465460560 is 65064564.

It is a happy number.

465460560 is a `hidden beast` number, since 46 + 5 + 4 + 605 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243127 + ... + 245033.

It is an arithmetic number, because the mean of its divisors is an integer number (10114308).

Almost surely, 2^465460560 is an apocalyptic number.

465460560 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 465460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809144640).

465460560 is an abundant number, since it is smaller than the sum of its proper divisors (1152828720).

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

465460560 is a wasteful number, since it uses less digits than its factorization.

465460560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 465460560 is about 21574.5349891950. The cubic root of 465460560 is about 774.9867829865.

The spelling of 465460560 in words is "four hundred sixty-five million, four hundred sixty thousand, five hundred sixty".