314979900 has 144 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 80960000.

The previous prime is 314979883. The next prime is 314979911. The reversal of 314979900 is 9979413.

It is a congruent number.

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, 1254775 + ... + 1255025.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^314979900 is an apocalyptic number.

314979900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314979900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

314979900 is an abundant number, since it is smaller than the sum of its proper divisors (629959620).

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

314979900 is a wasteful number, since it uses less digits than its factorization.

314979900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 314979900 is about 17747.6730869148. The cubic root of 314979900 is about 680.3947390916.

The spelling of 314979900 in words is "three hundred fourteen million, nine hundred seventy-nine thousand, nine hundred".