314252400 has 480 divisors, whose sum is σ = 1328486400. Its totient is φ = 61516800.

The previous prime is 314252383. The next prime is 314252431. The reversal of 314252400 is 4252413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755511 + ... + 1755689.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680).

Almost surely, 2^314252400 is an apocalyptic number.

314252400 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 314252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664243200).

314252400 is an abundant number, since it is smaller than the sum of its proper divisors (1014234000).

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

314252400 is a wasteful number, since it uses less digits than its factorization.

314252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

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

The square root of 314252400 is about 17727.1655940819. The cubic root of 314252400 is about 679.8705059069.

The spelling of 314252400 in words is "three hundred fourteen million, two hundred fifty-two thousand, four hundred".