314025984 has 144 divisors (see below), whose sum is σ = 942046560. Its totient is φ = 104509440.

The previous prime is 314025961. The next prime is 314025991. The reversal of 314025984 is 489520413.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×314025984² = 197224637254336512, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 497349 + ... + 497979.

It is an arithmetic number, because the mean of its divisors is an integer number (6541990).

Almost surely, 2^314025984 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 314025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471023280).

314025984 is an abundant number, since it is smaller than the sum of its proper divisors (628020576).

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

314025984 is an frugal number, since it uses more digits than its factorization.

314025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 314025984 is about 17720.7783124783. The cubic root of 314025984 is about 679.7071865023.

The spelling of 314025984 in words is "three hundred fourteen million, twenty-five thousand, nine hundred eighty-four".