314744400 has 240 divisors, whose sum is σ = 1133518720. Its totient is φ = 82944000.

The previous prime is 314744387. The next prime is 314744401. The reversal of 314744400 is 4447413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314744401) 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, 1630704 + ... + 1630896.

Almost surely, 2^314744400 is an apocalyptic number.

314744400 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 314744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566759360).

314744400 is an abundant number, since it is smaller than the sum of its proper divisors (818774320).

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

314744400 is a wasteful number, since it uses less digits than its factorization.

314744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 314744400 is about 17741.0371737393. The cubic root of 314744400 is about 680.2251273044.

The spelling of 314744400 in words is "three hundred fourteen million, seven hundred forty-four thousand, four hundred".