314421840 has 120 divisors (see below), whose sum is σ = 1090073088. Its totient is φ = 81135360.

The previous prime is 314421803. The next prime is 314421881. The reversal of 314421840 is 48124413.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×314421840² = 197722186937971200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15277 + ... + 29363.

Almost surely, 2^314421840 is an apocalyptic number.

314421840 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 314421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545036544).

314421840 is an abundant number, since it is smaller than the sum of its proper divisors (775651248).

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

314421840 is a wasteful number, since it uses less digits than its factorization.

314421840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14137 (or 14128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 314421840 is about 17731.9440558558. The cubic root of 314421840 is about 679.9926758150.

The spelling of 314421840 in words is "three hundred fourteen million, four hundred twenty-one thousand, eight hundred forty".