314573220 has 216 divisors, whose sum is σ = 1074318336. Its totient is φ = 77231232.

The previous prime is 314573183. The next prime is 314573221. The reversal of 314573220 is 22375413.

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

It is not an unprimeable number, because it can be changed into a prime (314573221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 821149 + ... + 821531.

It is an arithmetic number, because the mean of its divisors is an integer number (4973696).

Almost surely, 2^314573220 is an apocalyptic number.

314573220 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 314573220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537159168).

314573220 is an abundant number, since it is smaller than the sum of its proper divisors (759745116).

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

314573220 is a wasteful number, since it uses less digits than its factorization.

314573220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 314573220 is about 17736.2121096924. The cubic root of 314573220 is about 680.1017869546.

The spelling of 314573220 in words is "three hundred fourteen million, five hundred seventy-three thousand, two hundred twenty".