314420352 has 128 divisors (see below), whose sum is σ = 878277120. Its totient is φ = 99532800.

The previous prime is 314420333. The next prime is 314420369. The reversal of 314420352 is 253024413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725928 + ... + 726360.

It is an arithmetic number, because the mean of its divisors is an integer number (6861540).

Almost surely, 2^314420352 is an apocalyptic number.

314420352 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 314420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439138560).

314420352 is an abundant number, since it is smaller than the sum of its proper divisors (563856768).

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

314420352 is a wasteful number, since it uses less digits than its factorization.

314420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 314420352 is about 17731.9020976318. The cubic root of 314420352 is about 679.9916031258.

Adding to 314420352 its reverse (253024413), we get a palindrome (567444765).

The spelling of 314420352 in words is "three hundred fourteen million, four hundred twenty thousand, three hundred fifty-two".