314451072 has 160 divisors (see below), whose sum is σ = 1008217980. Its totient is φ = 96712704.

The previous prime is 314451041. The next prime is 314451107. The reversal of 314451072 is 270154413.

314451072 is a `hidden beast` number, since 3 + 144 + 510 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 291180096 + 23270976 = 17064^2 + 4824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133618 + ... + 135950.

Almost surely, 2^314451072 is an apocalyptic number.

314451072 is a gapful number since it is divisible by the number (32) 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 314451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504108990).

314451072 is an abundant number, since it is smaller than the sum of its proper divisors (693766908).

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

314451072 is a wasteful number, since it uses less digits than its factorization.

314451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 314451072 is about 17732.7683118006. The cubic root of 314451072 is about 680.0137482803.

The spelling of 314451072 in words is "three hundred fourteen million, four hundred fifty-one thousand, seventy-two".