314832420 has 120 divisors (see below), whose sum is σ = 1128773184. Its totient is φ = 71959104.

The previous prime is 314832391. The next prime is 314832421. The reversal of 314832420 is 24238413.

314832420 = T₄₂₂₄ + T₄₂₂₅ + ... + T₄₂₅₈.

314832420 is a `hidden beast` number, since 314 + 8 + 324 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314832421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2542 + ... + 25221.

Almost surely, 2^314832420 is an apocalyptic number.

314832420 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 314832420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564386592).

314832420 is an abundant number, since it is smaller than the sum of its proper divisors (813940764).

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

314832420 is a wasteful number, since it uses less digits than its factorization.

314832420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27791 (or 27780 counting only the distinct ones).

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

The square root of 314832420 is about 17743.5176895676. The cubic root of 314832420 is about 680.2885309586.

The spelling of 314832420 in words is "three hundred fourteen million, eight hundred thirty-two thousand, four hundred twenty".