314054400 has 216 divisors, whose sum is σ = 1131427584. Its totient is φ = 76083200.

The previous prime is 314054387. The next prime is 314054407. The reversal of 314054400 is 4450413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314054407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210457 + ... + 211943.

Almost surely, 2^314054400 is an apocalyptic number.

314054400 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 314054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565713792).

314054400 is an abundant number, since it is smaller than the sum of its proper divisors (817373184).

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

314054400 is a wasteful number, since it uses less digits than its factorization.

314054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 314054400 is about 17721.5800649942. The cubic root of 314054400 is about 679.7276879659.

The spelling of 314054400 in words is "three hundred fourteen million, fifty-four thousand, four hundred".