496175625 has 135 divisors (see below), whose sum is σ = 1022214193. Its totient is φ = 240570000.

The previous prime is 496175593. The next prime is 496175629. The reversal of 496175625 is 526571694.

The square root of 496175625 is 22275.

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

496175625 is a `hidden beast` number, since 4 + 9 + 6 + 17 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38900169 + 457275456 = 6237^2 + 21384^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 496175625 - 2⁵ = 496175593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (496175629) 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, 45106870 + ... + 45106880.

Almost surely, 2^496175625 is an apocalyptic number.

496175625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

496175625 is the 22275-th square number.

496175625 is the 11138-th centered octagonal number.

It is an amenable number.

496175625 is an abundant number, since it is smaller than the sum of its proper divisors (526038568).

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

496175625 is an frugal number, since it uses more digits than its factorization.

496175625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 19 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 496175625 is about 791.6717389641.

It can be divided in two parts, 496 and 175625, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 496175625 in words is "four hundred ninety-six million, one hundred seventy-five thousand, six hundred twenty-five".