472406400000 has 792 divisors, whose sum is σ = 1746235108800. Its totient is φ = 122941440000.

The previous prime is 472406399987. The next prime is 472406400019. The reversal of 472406400000 is 4604274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1353599826 + ... + 1353600174.

Almost surely, 2^472406400000 is an apocalyptic number.

472406400000 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 472406400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873117554400).

472406400000 is an abundant number, since it is smaller than the sum of its proper divisors (1273828708800).

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

472406400000 is an equidigital number, since it uses as much as digits as its factorization.

472406400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 472406400000 in words is "four hundred seventy-two billion, four hundred six million, four hundred thousand".