472096800 has 864 divisors, whose sum is σ = 2193609600. Its totient is φ = 92897280.

The previous prime is 472096789. The next prime is 472096813. The reversal of 472096800 is 8690274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16279186 + ... + 16279214.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^472096800 is an apocalyptic number.

472096800 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 472096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

472096800 is an abundant number, since it is smaller than the sum of its proper divisors (1721512800).

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

472096800 is a wasteful number, since it uses less digits than its factorization.

472096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 472096800 is about 21727.7886587660. The cubic root of 472096800 is about 778.6525058151.

The spelling of 472096800 in words is "four hundred seventy-two million, ninety-six thousand, eight hundred".