314904744 has 192 divisors, whose sum is σ = 1078272000. Its totient is φ = 80645760.

The previous prime is 314904721. The next prime is 314904761. The reversal of 314904744 is 447409413.

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

It is a junction number, because it is equal to n+sod(n) for n = 314904699 and 314904708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437617 + ... + 438335.

It is an arithmetic number, because the mean of its divisors is an integer number (5616000).

Almost surely, 2^314904744 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 314904744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136000).

314904744 is an abundant number, since it is smaller than the sum of its proper divisors (763367256).

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

314904744 is a wasteful number, since it uses less digits than its factorization.

314904744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 314904744 is about 17745.5556126034. Note that the first 3 decimals coincide. The cubic root of 314904744 is about 680.3406194323.

The spelling of 314904744 in words is "three hundred fourteen million, nine hundred four thousand, seven hundred forty-four".