314456076 has 144 divisors (see below), whose sum is σ = 905224320. Its totient is φ = 91203840.

The previous prime is 314456059. The next prime is 314456083. The reversal of 314456076 is 670654413.

It is a happy number.

314456076 is a `hidden beast` number, since 3 + 1 + 4 + 45 + 607 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 314456076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004496 + ... + 1004808.

It is an arithmetic number, because the mean of its divisors is an integer number (6286280).

Almost surely, 2^314456076 is an apocalyptic number.

314456076 is a gapful number since it is divisible by the number (36) 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 314456076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452612160).

314456076 is an abundant number, since it is smaller than the sum of its proper divisors (590768244).

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

314456076 is a wasteful number, since it uses less digits than its factorization.

314456076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 314456076 is about 17732.9094059604. The cubic root of 314456076 is about 680.0173553817.

The spelling of 314456076 in words is "three hundred fourteen million, four hundred fifty-six thousand, seventy-six".