314968500 has 480 divisors, whose sum is σ = 1293836544. Its totient is φ = 64800000.

The previous prime is 314968481. The next prime is 314968553. The reversal of 314968500 is 5869413.

314968500 is a `hidden beast` number, since 3 + 149 + 6 + 8 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3118450 + ... + 3118550.

Almost surely, 2^314968500 is an apocalyptic number.

314968500 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 314968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646918272).

314968500 is an abundant number, since it is smaller than the sum of its proper divisors (978868044).

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

314968500 is a wasteful number, since it uses less digits than its factorization.

314968500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 314968500 is about 17747.3519151450. The cubic root of 314968500 is about 680.3865305322.

The spelling of 314968500 in words is "three hundred fourteen million, nine hundred sixty-eight thousand, five hundred".