472394000 has 80 divisors (see below), whose sum is σ = 1230181680. Its totient is φ = 174412800.

The previous prime is 472393993. The next prime is 472394063. The reversal of 472394000 is 493274.

It can be written as a sum of positive squares in 8 ways, for example, as 333719824 + 138674176 = 18268^2 + 11776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 16916 + ... + 35084.

It is an arithmetic number, because the mean of its divisors is an integer number (15377271).

Almost surely, 2^472394000 is an apocalyptic number.

472394000 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 472394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615090840).

472394000 is an abundant number, since it is smaller than the sum of its proper divisors (757787680).

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

472394000 is a wasteful number, since it uses less digits than its factorization.

472394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18205 (or 18189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 472394000 is about 21734.6267508784. The cubic root of 472394000 is about 778.8158670725.

The spelling of 472394000 in words is "four hundred seventy-two million, three hundred ninety-four thousand".