314620488 has 192 divisors, whose sum is σ = 1083264000. Its totient is φ = 80248320.

The previous prime is 314620451. The next prime is 314620541. The reversal of 314620488 is 884026413.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202338 + ... + 203886.

It is an arithmetic number, because the mean of its divisors is an integer number (5642000).

Almost surely, 2^314620488 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 314620488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632000).

314620488 is an abundant number, since it is smaller than the sum of its proper divisors (768643512).

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

314620488 is a wasteful number, since it uses less digits than its factorization.

314620488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 314620488 is about 17737.5445876818. The cubic root of 314620488 is about 680.1358494443.

The spelling of 314620488 in words is "three hundred fourteen million, six hundred twenty thousand, four hundred eighty-eight".