314271900 has 162 divisors, whose sum is σ = 1025038560. Its totient is φ = 83630880.

The previous prime is 314271887. The next prime is 314271917. The reversal of 314271900 is 9172413.

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×314271900² = 197533654259220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 655861 + ... + 656339.

Almost surely, 2^314271900 is an apocalyptic number.

314271900 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 314271900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512519280).

314271900 is an abundant number, since it is smaller than the sum of its proper divisors (710766660).

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

314271900 is an equidigital number, since it uses as much as digits as its factorization.

314271900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 314271900 is about 17727.7155888738. The cubic root of 314271900 is about 679.8845680648.

The spelling of 314271900 in words is "three hundred fourteen million, two hundred seventy-one thousand, nine hundred".