314748672 has 144 divisors (see below), whose sum is σ = 966991872. Its totient is φ = 89026560.

The previous prime is 314748653. The next prime is 314748689. The reversal of 314748672 is 276847413.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 682522 + ... + 682982.

Almost surely, 2^314748672 is an apocalyptic number.

314748672 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 314748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483495936).

314748672 is an abundant number, since it is smaller than the sum of its proper divisors (652243200).

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

314748672 is a wasteful number, since it uses less digits than its factorization.

314748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 314748672 is about 17741.1575721541. The cubic root of 314748672 is about 680.2282048372.

The spelling of 314748672 in words is "three hundred fourteen million, seven hundred forty-eight thousand, six hundred seventy-two".