472948000 has 288 divisors, whose sum is σ = 1434101760. Its totient is φ = 152409600.

The previous prime is 472947971. The next prime is 472948031. The reversal of 472948000 is 849274.

It is a happy number.

472948000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 3723937 + ... + 3724063.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^472948000 is an apocalyptic number.

472948000 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 472948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

472948000 is an abundant number, since it is smaller than the sum of its proper divisors (961153760).

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

472948000 is a wasteful number, since it uses less digits than its factorization.

472948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 472948000 is about 21747.3676567993. The cubic root of 472948000 is about 779.1202002024.

The spelling of 472948000 in words is "four hundred seventy-two million, nine hundred forty-eight thousand".