314022720 has 224 divisors, whose sum is σ = 1100791296. Its totient is φ = 75212800.

The previous prime is 314022707. The next prime is 314022727. The reversal of 314022720 is 27220413.

It is a super-2 number, since 2×314022720² = 197220537352396800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314022727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383247 + ... + 1383473.

Almost surely, 2^314022720 is an apocalyptic number.

314022720 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 314022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550395648).

314022720 is an abundant number, since it is smaller than the sum of its proper divisors (786768576).

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

314022720 is a wasteful number, since it uses less digits than its factorization.

314022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 314022720 is about 17720.6862169612. The cubic root of 314022720 is about 679.7048315253.

The spelling of 314022720 in words is "three hundred fourteen million, twenty-two thousand, seven hundred twenty".