314749454400 has 336 divisors, whose sum is σ = 1149253764480. Its totient is φ = 83796019200.

The previous prime is 314749454377. The next prime is 314749454419. The reversal of 314749454400 is 4454947413.

314749454400 is a `hidden beast` number, since 3 + 1 + 474 + 94 + 54 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27944770 + ... + 27956030.

Almost surely, 2^314749454400 is an apocalyptic number.

314749454400 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 314749454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574626882240).

314749454400 is an abundant number, since it is smaller than the sum of its proper divisors (834504310080).

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

314749454400 is a wasteful number, since it uses less digits than its factorization.

314749454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11939 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 314749454400 in words is "three hundred fourteen billion, seven hundred forty-nine million, four hundred fifty-four thousand, four hundred".