465120990720 has 640 divisors, whose sum is σ = 1683016030080. Its totient is φ = 121739673600.

The previous prime is 465120990701. The next prime is 465120990727. The reversal of 465120990720 is 27099021564.

465120990720 is a `hidden beast` number, since 46 + 512 + 0 + 9 + 90 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×465120990720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465120990727) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1159902520 + ... + 1159902920.

It is an arithmetic number, because the mean of its divisors is an integer number (2629712547).

Almost surely, 2^465120990720 is an apocalyptic number.

465120990720 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 465120990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841508015040).

465120990720 is an abundant number, since it is smaller than the sum of its proper divisors (1217895039360).

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

465120990720 is a wasteful number, since it uses less digits than its factorization.

465120990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 465120990720 in words is "four hundred sixty-five billion, one hundred twenty million, nine hundred ninety thousand, seven hundred twenty".