465125000 has 84 divisors (see below), whose sum is σ = 1108286595. Its totient is φ = 183000000.

The previous prime is 465124999. The next prime is 465125009. The reversal of 465125000 is 521564.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 437897476 + 27227524 = 20926^2 + 5218^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15250.

It is not an unprimeable number, because it can be changed into a prime (465125009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7624970 + ... + 7625030.

Almost surely, 2^465125000 is an apocalyptic number.

465125000 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 465125000

465125000 is an abundant number, since it is smaller than the sum of its proper divisors (643161595).

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

465125000 is an frugal number, since it uses more digits than its factorization.

465125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 465125000 is about 21566.7568261897. The cubic root of 465125000 is about 774.8005036286.

Adding to 465125000 its reverse (521564), we get a palindrome (465646564).

The spelling of 465125000 in words is "four hundred sixty-five million, one hundred twenty-five thousand".