314829240 has 128 divisors (see below), whose sum is σ = 1084665600. Its totient is φ = 72299520.

The previous prime is 314829233. The next prime is 314829241. The reversal of 314829240 is 42928413.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314829241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18804 + ... + 31356.

It is an arithmetic number, because the mean of its divisors is an integer number (8473950).

Almost surely, 2^314829240 is an apocalyptic number.

314829240 is a gapful number since it is divisible by the number (30) 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 314829240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542332800).

314829240 is an abundant number, since it is smaller than the sum of its proper divisors (769836360).

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

314829240 is a wasteful number, since it uses less digits than its factorization.

314829240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 314829240 is about 17743.4280791509. The cubic root of 314829240 is about 680.2862405075.

The spelling of 314829240 in words is "three hundred fourteen million, eight hundred twenty-nine thousand, two hundred forty".