825189480 has 48 divisors (see below), whose sum is σ = 2681866980. Its totient is φ = 220050432.

The previous prime is 825189451. The next prime is 825189509. The reversal of 825189480 is 84981528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825189451) and next prime (825189509).

It can be written as a sum of positive squares in 2 ways, for example, as 824953284 + 236196 = 28722^2 + 486^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1145737 + ... + 1146456.

Almost surely, 2^825189480 is an apocalyptic number.

It is an amenable number.

825189480 is an abundant number, since it is smaller than the sum of its proper divisors (1856677500).

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

825189480 is a wasteful number, since it uses less digits than its factorization.

825189480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292210 (or 2292203 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 825189480 is about 28726.1114667475. Note that the first 3 decimals coincide. The cubic root of 825189480 is about 937.9605246745.

The spelling of 825189480 in words is "eight hundred twenty-five million, one hundred eighty-nine thousand, four hundred eighty".