472647040 has 128 divisors (see below), whose sum is σ = 1216166400. Its totient is φ = 175085568.

The previous prime is 472647029. The next prime is 472647067. The reversal of 472647040 is 40746274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 472646987 and 472647005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571107 + ... + 571933.

It is an arithmetic number, because the mean of its divisors is an integer number (9501300).

Almost surely, 2^472647040 is an apocalyptic number.

472647040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608083200).

472647040 is an abundant number, since it is smaller than the sum of its proper divisors (743519360).

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

472647040 is a wasteful number, since it uses less digits than its factorization.

472647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 472647040 is about 21740.4470975185. The cubic root of 472647040 is about 778.9549010075.

The spelling of 472647040 in words is "four hundred seventy-two million, six hundred forty-seven thousand, forty".