314400432 has 40 divisors (see below), whose sum is σ = 847517184. Its totient is φ = 100243264.

The previous prime is 314400413. The next prime is 314400451. The reversal of 314400432 is 234004413.

It is an interprime number because it is at equal distance from previous prime (314400413) and next prime (314400451).

It is a junction number, because it is equal to n+sod(n) for n = 314400399 and 314400408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141288 + ... + 143495.

Almost surely, 2^314400432 is an apocalyptic number.

It is an amenable number.

314400432 is an abundant number, since it is smaller than the sum of its proper divisors (533116752).

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

314400432 is a wasteful number, since it uses less digits than its factorization.

314400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284817 (or 284811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 314400432 is about 17731.3403892656. The cubic root of 314400432 is about 679.9772426063.

Adding to 314400432 its reverse (234004413), we get a palindrome (548404845).

The spelling of 314400432 in words is "three hundred fourteen million, four hundred thousand, four hundred thirty-two".