472948245 has 288 divisors, whose sum is σ = 1167768576. Its totient is φ = 174182400.

The previous prime is 472948207. The next prime is 472948277. The reversal of 472948245 is 542849274.

It is not a de Polignac number, because 472948245 - 2⁶ = 472948181 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 472948245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12782367 + ... + 12782403.

It is an arithmetic number, because the mean of its divisors is an integer number (4054752).

Almost surely, 2^472948245 is an apocalyptic number.

472948245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472948245 is an abundant number, since it is smaller than the sum of its proper divisors (694820331).

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

472948245 is a wasteful number, since it uses less digits than its factorization.

472948245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 472948245 is about 21747.3732896642. The cubic root of 472948245 is about 779.1203347376.

The spelling of 472948245 in words is "four hundred seventy-two million, nine hundred forty-eight thousand, two hundred forty-five".