314679384 has 144 divisors (see below), whose sum is σ = 941814600. Its totient is φ = 97332480.

The previous prime is 314679341. The next prime is 314679389. The reversal of 314679384 is 483976413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×314679384² = 198046229429238912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314679389) 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, 4432069 + ... + 4432139.

Almost surely, 2^314679384 is an apocalyptic number.

314679384 is a gapful number since it is divisible by the number (34) 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 314679384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470907300).

314679384 is an abundant number, since it is smaller than the sum of its proper divisors (627135216).

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

314679384 is a wasteful number, since it uses less digits than its factorization.

314679384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 93 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 314679384 is about 17739.2047172358. The cubic root of 314679384 is about 680.1782865850.

The spelling of 314679384 in words is "three hundred fourteen million, six hundred seventy-nine thousand, three hundred eighty-four".