465010560 has 384 divisors, whose sum is σ = 1934899200. Its totient is φ = 100528128.

The previous prime is 465010547. The next prime is 465010583. The reversal of 465010560 is 65010564.

It is a happy number.

465010560 is a `hidden beast` number, since 4 + 650 + 1 + 0 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765777 + ... + 766383.

It is an arithmetic number, because the mean of its divisors is an integer number (5038800).

Almost surely, 2^465010560 is an apocalyptic number.

465010560 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 465010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967449600).

465010560 is an abundant number, since it is smaller than the sum of its proper divisors (1469888640).

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

465010560 is a wasteful number, since it uses less digits than its factorization.

465010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 465010560 is about 21564.1035055947. The cubic root of 465010560 is about 774.7369540862.

The spelling of 465010560 in words is "four hundred sixty-five million, ten thousand, five hundred sixty".