46580625 has 135 divisors (see below), whose sum is σ = 105905943. Its totient is φ = 19656000.

The previous prime is 46580623. The next prime is 46580657. The reversal of 46580625 is 52608564.

The square root of 46580625 is 6825.

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 46009089 + 571536 = 6783^2 + 756^2 .

It is not a de Polignac number, because 46580625 - 2¹ = 46580623 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46580625.

It is not an unprimeable number, because it can be changed into a prime (46580623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3583119 + ... + 3583131.

Almost surely, 2^46580625 is an apocalyptic number.

46580625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46580625 is the 6825-th square number.

46580625 is the 3413-rd centered octagonal number.

It is an amenable number.

46580625 is an abundant number, since it is smaller than the sum of its proper divisors (59325318).

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

46580625 is a wasteful number, since it uses less digits than its factorization.

46580625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 46580625 is about 359.8060297657.

Multiplying 46580625 by its sum of digits (36), we get a square (1676902500 = 40950²).

Multiplying 46580625 by its product of nonzero digits (57600), we get a square (2683044000000 = 1638000²).

The spelling of 46580625 in words is "forty-six million, five hundred eighty thousand, six hundred twenty-five".