465526400 has 48 divisors (see below), whose sum is σ = 1150003590. Its totient is φ = 186209280.

The previous prime is 465526393. The next prime is 465526403. The reversal of 465526400 is 4625564.

It can be written as a sum of positive squares in 3 ways, for example, as 266603584 + 198922816 = 16328^2 + 14104^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (465526403) 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 5 ways as a sum of consecutive naturals, for example, 69539 + ... + 75938.

Almost surely, 2^465526400 is an apocalyptic number.

465526400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465526400 is an abundant number, since it is smaller than the sum of its proper divisors (684477190).

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

465526400 is a wasteful number, since it uses less digits than its factorization.

465526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145501 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 465526400 is about 21576.0608082198. The cubic root of 465526400 is about 775.0233222257.

The spelling of 465526400 in words is "four hundred sixty-five million, five hundred twenty-six thousand, four hundred".