314372500 has 120 divisors (see below), whose sum is σ = 785279880. Its totient is φ = 109056000.

The previous prime is 314372497. The next prime is 314372501. The reversal of 314372500 is 5273413.

It can be written as a sum of positive squares in 20 ways, for example, as 309689604 + 4682896 = 17598^2 + 2164^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314372501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 552216 + ... + 552784.

It is an arithmetic number, because the mean of its divisors is an integer number (6543999).

Almost surely, 2^314372500 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 314372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392639940).

314372500 is an abundant number, since it is smaller than the sum of its proper divisors (470907380).

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

314372500 is a wasteful number, since it uses less digits than its factorization.

314372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 314372500 is about 17730.5527268611. The cubic root of 314372500 is about 679.9571051374.

The spelling of 314372500 in words is "three hundred fourteen million, three hundred seventy-two thousand, five hundred".