472858624000 has 864 divisors, whose sum is σ = 1491824355840. Its totient is φ = 148635648000.

The previous prime is 472858623971. The next prime is 472858624003. The reversal of 472858624000 is 426858274.

It is not an unprimeable number, because it can be changed into a prime (472858624003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15253503985 + ... + 15253504015.

It is an arithmetic number, because the mean of its divisors is an integer number (1726648560).

Almost surely, 2^472858624000 is an apocalyptic number.

472858624000 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 472858624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745912177920).

472858624000 is an abundant number, since it is smaller than the sum of its proper divisors (1018965731840).

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

472858624000 is an frugal number, since it uses more digits than its factorization.

472858624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 472858624000 in words is "four hundred seventy-two billion, eight hundred fifty-eight million, six hundred twenty-four thousand".