464748975625 has 135 divisors (see below), whose sum is σ = 666002410227. Its totient is φ = 323955720000.

The previous prime is 464748975611. The next prime is 464748975679. The reversal of 464748975625 is 526579847464.

The square root of 464748975625 is 681725.

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

It can be written as a sum of positive squares in 7 ways, for example, as 154308338041 + 310440637584 = 392821^2 + 557172^2 .

It is not a de Polignac number, because 464748975625 - 2¹⁵ = 464748942857 is a prime.

It is a super-2 number, since 2×464748975625² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

Its product of digits (406425600) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 6936551842 + ... + 6936551908.

Almost surely, 2^464748975625 is an apocalyptic number.

464748975625 is the 681725-th square number.

464748975625 is the 340863-rd centered octagonal number.

It is an amenable number.

464748975625 is a deficient number, since it is larger than the sum of its proper divisors (201253434602).

464748975625 is an frugal number, since it uses more digits than its factorization.

464748975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 120 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 67.

The spelling of 464748975625 in words is "four hundred sixty-four billion, seven hundred forty-eight million, nine hundred seventy-five thousand, six hundred twenty-five".