465975525376 has 45 divisors (see below), whose sum is σ = 932097389041. Its totient is φ = 232944074752.

The previous prime is 465975525361. The next prime is 465975525383. The reversal of 465975525376 is 673525579564.

The square root of 465975525376 is 682624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 464578560000 + 1396965376 = 681600^2 + 37376^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 87373206 + ... + 87378538.

Almost surely, 2^465975525376 is an apocalyptic number.

465975525376 is the 682624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465975525376

465975525376 is an abundant number, since it is smaller than the sum of its proper divisors (466121863665).

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

465975525376 is an frugal number, since it uses more digits than its factorization.

465975525376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 5335 counting only the distinct ones).

The product of its digits is 238140000, while the sum is 64.

Multiplying 465975525376 by its sum of digits (64), we get a square (29822433624064 = 5460992²).

465975525376 divided by its sum of digits (64) gives a square (7280867584 = 85328²).

The spelling of 465975525376 in words is "four hundred sixty-five billion, nine hundred seventy-five million, five hundred twenty-five thousand, three hundred seventy-six".