314385552 has 120 divisors (see below), whose sum is σ = 997505600. Its totient is φ = 91632384.

The previous prime is 314385541. The next prime is 314385593. The reversal of 314385552 is 255583413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31149 + ... + 39987.

Almost surely, 2^314385552 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 314385552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498752800).

314385552 is an abundant number, since it is smaller than the sum of its proper divisors (683120048).

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

314385552 is a wasteful number, since it uses less digits than its factorization.

314385552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885 (or 8876 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 314385552 is about 17730.9207882727. The cubic root of 314385552 is about 679.9665150755.

The spelling of 314385552 in words is "three hundred fourteen million, three hundred eighty-five thousand, five hundred fifty-two".