314259400 has 192 divisors, whose sum is σ = 929940480. Its totient is φ = 96076800.

The previous prime is 314259377. The next prime is 314259403. The reversal of 314259400 is 4952413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (314259403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563922 + ... + 564478.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^314259400 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 314259400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

314259400 is an abundant number, since it is smaller than the sum of its proper divisors (615681080).

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

314259400 is a wasteful number, since it uses less digits than its factorization.

314259400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 314259400 is about 17727.3630300730. The cubic root of 314259400 is about 679.8755539279.

The spelling of 314259400 in words is "three hundred fourteen million, two hundred fifty-nine thousand, four hundred".