471972825 has 168 divisors, whose sum is σ = 975830400. Its totient is φ = 225348480.

The previous prime is 471972793. The next prime is 471972829. The reversal of 471972825 is 528279174.

It is a happy number.

It is not a de Polignac number, because 471972825 - 2⁵ = 471972793 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 (471972829) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10041952 + ... + 10041998.

Almost surely, 2^471972825 is an apocalyptic number.

471972825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

471972825 is an abundant number, since it is smaller than the sum of its proper divisors (503857575).

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

471972825 is a wasteful number, since it uses less digits than its factorization.

471972825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 471972825 is about 21724.9355580172. The cubic root of 471972825 is about 778.5843404899.

The spelling of 471972825 in words is "four hundred seventy-one million, nine hundred seventy-two thousand, eight hundred twenty-five".