825267492 has 144 divisors (see below), whose sum is σ = 2481024000. Its totient is φ = 226333440.

The previous prime is 825267479. The next prime is 825267493. The reversal of 825267492 is 294762528.

825267492 is a `hidden beast` number, since 82 + 526 + 7 + 49 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (825267493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163634 + ... + 1164342.

Almost surely, 2^825267492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825267492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240512000).

825267492 is an abundant number, since it is smaller than the sum of its proper divisors (1655756508).

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

825267492 is a wasteful number, since it uses less digits than its factorization.

825267492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 901 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 825267492 is about 28727.4692933436. The cubic root of 825267492 is about 937.9900814702.

The spelling of 825267492 in words is "eight hundred twenty-five million, two hundred sixty-seven thousand, four hundred ninety-two".