314054520 has 128 divisors (see below), whose sum is σ = 1042251840. Its totient is φ = 75202560.

The previous prime is 314054509. The next prime is 314054537. The reversal of 314054520 is 25450413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55000 + ... + 60440.

Almost surely, 2^314054520 is an apocalyptic number.

314054520 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 314054520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521125920).

314054520 is an abundant number, since it is smaller than the sum of its proper divisors (728197320).

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

314054520 is a wasteful number, since it uses less digits than its factorization.

314054520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 314054520 is about 17721.5834506965. The cubic root of 314054520 is about 679.7277745404.

The spelling of 314054520 in words is "three hundred fourteen million, fifty-four thousand, five hundred twenty".