476321170400 has 144 divisors (see below), whose sum is σ = 1181296892160. Its totient is φ = 187506316800.

The previous prime is 476321170393. The next prime is 476321170447. The reversal of 476321170400 is 4071123674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65977991 + ... + 65985209.

It is an arithmetic number, because the mean of its divisors is an integer number (8203450640).

Almost surely, 2^476321170400 is an apocalyptic number.

476321170400 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 476321170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590648446080).

476321170400 is an abundant number, since it is smaller than the sum of its proper divisors (704975721760).

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

476321170400 is a wasteful number, since it uses less digits than its factorization.

476321170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8537 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 476321170400 in words is "four hundred seventy-six billion, three hundred twenty-one million, one hundred seventy thousand, four hundred".