314432280 has 224 divisors, whose sum is σ = 1090726560. Its totient is φ = 81492480.

The previous prime is 314432269. The next prime is 314432281. The reversal of 314432280 is 82234413.

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 (314432281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1195429 + ... + 1195691.

It is an arithmetic number, because the mean of its divisors is an integer number (4869315).

Almost surely, 2^314432280 is an apocalyptic number.

314432280 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 314432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545363280).

314432280 is an abundant number, since it is smaller than the sum of its proper divisors (776294280).

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

314432280 is a wasteful number, since it uses less digits than its factorization.

314432280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 314432280 is about 17732.2384373773. The cubic root of 314432280 is about 680.0002018454. Note that the first 3 decimals are identical.

Adding to 314432280 its reverse (82234413), we get a palindrome (396666693).

The spelling of 314432280 in words is "three hundred fourteen million, four hundred thirty-two thousand, two hundred eighty".