465441360 has 40 divisors (see below), whose sum is σ = 1442868960. Its totient is φ = 124117632.

The previous prime is 465441359. The next prime is 465441367. The reversal of 465441360 is 63144564.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465441367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969430 + ... + 969909.

It is an arithmetic number, because the mean of its divisors is an integer number (36071724).

Almost surely, 2^465441360 is an apocalyptic number.

465441360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465441360 is an abundant number, since it is smaller than the sum of its proper divisors (977427600).

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

465441360 is a wasteful number, since it uses less digits than its factorization.

465441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939355 (or 1939349 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 465441360 is about 21574.0900155719. The cubic root of 465441360 is about 774.9761269094.

The spelling of 465441360 in words is "four hundred sixty-five million, four hundred forty-one thousand, three hundred sixty".