465039360 has 312 divisors, whose sum is σ = 1712246640. Its totient is φ = 119734272.

The previous prime is 465039349. The next prime is 465039361. The reversal of 465039360 is 63930564.

465039360 is a `hidden beast` number, since 4 + 6 + 503 + 93 + 60 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465039361) 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, 16035826 + ... + 16035854.

It is an arithmetic number, because the mean of its divisors is an integer number (5487970).

Almost surely, 2^465039360 is an apocalyptic number.

465039360 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 465039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856123320).

465039360 is an abundant number, since it is smaller than the sum of its proper divisors (1247207280).

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

465039360 is an equidigital number, since it uses as much as digits as its factorization.

465039360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 465039360 is about 21564.7712716829. The cubic root of 465039360 is about 774.7529479622.

The spelling of 465039360 in words is "four hundred sixty-five million, thirty-nine thousand, three hundred sixty".