465152688 has 360 divisors, whose sum is σ = 1782917136. Its totient is φ = 111283200.

The previous prime is 465152617. The next prime is 465152707. The reversal of 465152688 is 886251564.

465152688 is a `hidden beast` number, since 46 + 5 + 1 + 526 + 88 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008778 + ... + 1009238.

Almost surely, 2^465152688 is an apocalyptic number.

465152688 is a gapful number since it is divisible by the number (48) 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 465152688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891458568).

465152688 is an abundant number, since it is smaller than the sum of its proper divisors (1317764448).

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

465152688 is a wasteful number, since it uses less digits than its factorization.

465152688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 465152688 is about 21567.3987304914. The cubic root of 465152688 is about 774.8158774533.

The spelling of 465152688 in words is "four hundred sixty-five million, one hundred fifty-two thousand, six hundred eighty-eight".