314427960 has 512 divisors, whose sum is σ = 1382400000. Its totient is φ = 61585920.

The previous prime is 314427923. The next prime is 314427983. The reversal of 314427960 is 69724413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1579941 + ... + 1580139.

It is an arithmetic number, because the mean of its divisors is an integer number (2700000).

Almost surely, 2^314427960 is an apocalyptic number.

314427960 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 314427960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200000).

314427960 is an abundant number, since it is smaller than the sum of its proper divisors (1067972040).

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

314427960 is a wasteful number, since it uses less digits than its factorization.

314427960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 314427960 is about 17732.1166249266. The cubic root of 314427960 is about 679.9970876461.

314427960 divided by its sum of digits (36) gives a triangular number (8734110 = T₄₁₇₉).

The spelling of 314427960 in words is "three hundred fourteen million, four hundred twenty-seven thousand, nine hundred sixty".