470810714400 has 864 divisors, whose sum is σ = 1856736161280. Its totient is φ = 111476736000.

The previous prime is 470810714371. The next prime is 470810714441. The reversal of 470810714400 is 4417018074.

470810714400 is a `hidden beast` number, since 4 + 70 + 81 + 0 + 71 + 440 + 0 = 666.

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, 612237216 + ... + 612237984.

Almost surely, 2^470810714400 is an apocalyptic number.

470810714400 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 470810714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928368080640).

470810714400 is an abundant number, since it is smaller than the sum of its proper divisors (1385925446880).

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

470810714400 is a wasteful number, since it uses less digits than its factorization.

470810714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 470810714400 in words is "four hundred seventy billion, eight hundred ten million, seven hundred fourteen thousand, four hundred".