314476504420 has 192 divisors, whose sum is σ = 726702520320. Its totient is φ = 113623990272.

The previous prime is 314476504399. The next prime is 314476504421. The reversal of 314476504420 is 24405674413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314476504421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1410208429 + ... + 1410208651.

It is an arithmetic number, because the mean of its divisors is an integer number (3784908960).

Almost surely, 2^314476504420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314476504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363351260160).

314476504420 is an abundant number, since it is smaller than the sum of its proper divisors (412226015900).

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

314476504420 is a wasteful number, since it uses less digits than its factorization.

314476504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 314476504420 in words is "three hundred fourteen billion, four hundred seventy-six million, five hundred four thousand, four hundred twenty".