465041160 has 96 divisors (see below), whose sum is σ = 1552276440. Its totient is φ = 120655872.

The previous prime is 465041113. The next prime is 465041167. The reversal of 465041160 is 61140564.

465041160 is a `hidden beast` number, since 4 + 650 + 4 + 1 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437730084 + 27311076 = 20922^2 + 5226^2 .

It is not an unprimeable number, because it can be changed into a prime (465041167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4137 + ... + 30776.

Almost surely, 2^465041160 is an apocalyptic number.

465041160 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 465041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776138220).

465041160 is an abundant number, since it is smaller than the sum of its proper divisors (1087235280).

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

465041160 is a wasteful number, since it uses less digits than its factorization.

465041160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34967 (or 34960 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 465041160 is about 21564.8130063768. The cubic root of 465041160 is about 774.7539475575.

The spelling of 465041160 in words is "four hundred sixty-five million, forty-one thousand, one hundred sixty".