470275814400 has 792 divisors, whose sum is σ = 1914663185856. Its totient is φ = 101154816000.

The previous prime is 470275814363. The next prime is 470275814429. The reversal of 470275814400 is 4418572074.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 63970725 + ... + 63978075.

Almost surely, 2^470275814400 is an apocalyptic number.

470275814400 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 470275814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957331592928).

470275814400 is an abundant number, since it is smaller than the sum of its proper divisors (1444387371456).

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

470275814400 is a wasteful number, since it uses less digits than its factorization.

470275814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7415 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 470275814400 in words is "four hundred seventy billion, two hundred seventy-five million, eight hundred fourteen thousand, four hundred".