825472032 has 384 divisors, whose sum is σ = 2874009600. Its totient is φ = 205470720.

The previous prime is 825472019. The next prime is 825472033. The reversal of 825472032 is 230274528.

It is a super-2 number, since 2×825472032² = 1362808151228418048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 825471984 and 825472002.

It is not an unprimeable number, because it can be changed into a prime (825472033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15574918 + ... + 15574970.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^825472032 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 825472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437004800).

825472032 is an abundant number, since it is smaller than the sum of its proper divisors (2048537568).

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

825472032 is a wasteful number, since it uses less digits than its factorization.

825472032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 825472032 is about 28731.0290800730. The cubic root of 825472032 is about 938.0675677176.

The spelling of 825472032 in words is "eight hundred twenty-five million, four hundred seventy-two thousand, thirty-two".