314046720 has 360 divisors, whose sum is σ = 1215350136. Its totient is φ = 76972032.

The previous prime is 314046697. The next prime is 314046737. The reversal of 314046720 is 27640413.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 313714944 = 576^2 + 17712^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347724 + ... + 1347956.

Almost surely, 2^314046720 is an apocalyptic number.

314046720 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 314046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607675068).

314046720 is an abundant number, since it is smaller than the sum of its proper divisors (901303416).

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

314046720 is a wasteful number, since it uses less digits than its factorization.

314046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 314046720 is about 17721.3633787020. The cubic root of 314046720 is about 679.7221471518.

The spelling of 314046720 in words is "three hundred fourteen million, forty-six thousand, seven hundred twenty".