470716400000 has 1536 divisors, whose sum is σ = 1652294246400. Its totient is φ = 129024000000.

The previous prime is 470716399987. The next prime is 470716400023. The reversal of 470716400000 is 4617074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15184399985 + ... + 15184400015.

It is an arithmetic number, because the mean of its divisors is an integer number (1075712400).

Almost surely, 2^470716400000 is an apocalyptic number.

470716400000 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 470716400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826147123200).

470716400000 is an abundant number, since it is smaller than the sum of its proper divisors (1181577846400).

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

470716400000 is a wasteful number, since it uses less digits than its factorization.

470716400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The spelling of 470716400000 in words is "four hundred seventy billion, seven hundred sixteen million, four hundred thousand".