465525000 has 144 divisors (see below), whose sum is σ = 1576656900. Its totient is φ = 124080000.

The previous prime is 465524981. The next prime is 465525013. The reversal of 465525000 is 525564.

465525000 is a `hidden beast` number, since 4 + 655 + 2 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 124679556 + 340845444 = 11166^2 + 18462^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223966 + ... + 226034.

Almost surely, 2^465525000 is an apocalyptic number.

465525000 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 465525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788328450).

465525000 is an abundant number, since it is smaller than the sum of its proper divisors (1111131900).

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

465525000 is a wasteful number, since it uses less digits than its factorization.

465525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 465525000 is about 21576.0283648312. The cubic root of 465525000 is about 775.0225453032.

The spelling of 465525000 in words is "four hundred sixty-five million, five hundred twenty-five thousand".