314754048 has 396 divisors, whose sum is σ = 1146721212. Its totient is φ = 82575360.

The previous prime is 314754029. The next prime is 314754049. The reversal of 314754048 is 840457413.

314754048 is a `hidden beast` number, since 31 + 47 + 540 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 199148544 = 10752^2 + 14112^2 .

It is a super-2 number, since 2×314754048² = 198140221464772608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314754049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676908 + ... + 7676948.

Almost surely, 2^314754048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573360606).

314754048 is an abundant number, since it is smaller than the sum of its proper divisors (831967164).

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

314754048 is a wasteful number, since it uses less digits than its factorization.

314754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 314754048 is about 17741.3090836049. The cubic root of 314754048 is about 680.2320776478.

The spelling of 314754048 in words is "three hundred fourteen million, seven hundred fifty-four thousand, forty-eight".