314903952 has 240 divisors, whose sum is σ = 1019506176. Its totient is φ = 90604800.

The previous prime is 314903951. The next prime is 314903959. The reversal of 314903952 is 259309413.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (314903951) by changing a digit.

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, 5941558 + ... + 5941610.

Almost surely, 2^314903952 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 314903952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509753088).

314903952 is an abundant number, since it is smaller than the sum of its proper divisors (704602224).

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

314903952 is a wasteful number, since it uses less digits than its factorization.

314903952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 314903952 is about 17745.5332971427. The cubic root of 314903952 is about 680.3400490691.

The spelling of 314903952 in words is "three hundred fourteen million, nine hundred three thousand, nine hundred fifty-two".