465117120 has 448 divisors, whose sum is σ = 1828068480. Its totient is φ = 110592000.

The previous prime is 465117113. The next prime is 465117137. The reversal of 465117120 is 21711564.

It is a happy number.

465117120 is a `hidden beast` number, since 4 + 651 + 1 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4605070 + ... + 4605170.

It is an arithmetic number, because the mean of its divisors is an integer number (4080510).

Almost surely, 2^465117120 is an apocalyptic number.

465117120 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 465117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914034240).

465117120 is an abundant number, since it is smaller than the sum of its proper divisors (1362951360).

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

465117120 is a wasteful number, since it uses less digits than its factorization.

465117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 465117120 is about 21566.5741368443. The cubic root of 465117120 is about 774.7961281292.

Adding to 465117120 its reverse (21711564), we get a palindrome (486828684).

The spelling of 465117120 in words is "four hundred sixty-five million, one hundred seventeen thousand, one hundred twenty".