314097888 has 96 divisors (see below), whose sum is σ = 896464800. Its totient is φ = 95717376.

The previous prime is 314097853. The next prime is 314097893. The reversal of 314097888 is 888790413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 134878 + ... + 137186.

It is an arithmetic number, because the mean of its divisors is an integer number (9338175).

Almost surely, 2^314097888 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 314097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448232400).

314097888 is an abundant number, since it is smaller than the sum of its proper divisors (582366912).

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

314097888 is a wasteful number, since it uses less digits than its factorization.

314097888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 314097888 is about 17722.8070011497. The cubic root of 314097888 is about 679.7590611223.

The spelling of 314097888 in words is "three hundred fourteen million, ninety-seven thousand, eight hundred eighty-eight".