314464473960 has 256 divisors, whose sum is σ = 1177008053760. Its totient is φ = 65439498240.

The previous prime is 314464473941. The next prime is 314464473977. The reversal of 314464473960 is 69374464413.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599920 + ... + 994400.

It is an arithmetic number, because the mean of its divisors is an integer number (4597687710).

Almost surely, 2^314464473960 is an apocalyptic number.

314464473960 is a gapful number since it is divisible by the number (30) 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 314464473960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588504026880).

314464473960 is an abundant number, since it is smaller than the sum of its proper divisors (862543579800).

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

314464473960 is a wasteful number, since it uses less digits than its factorization.

314464473960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394588 (or 394584 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 314464473960 in words is "three hundred fourteen billion, four hundred sixty-four million, four hundred seventy-three thousand, nine hundred sixty".