314141820 has 96 divisors (see below), whose sum is σ = 966228480. Its totient is φ = 75905280.

The previous prime is 314141819. The next prime is 314141831. The reversal of 314141820 is 28141413.

It is a super-3 number, since 3×314141820³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20230 + ... + 32210.

It is an arithmetic number, because the mean of its divisors is an integer number (10064880).

Almost surely, 2^314141820 is an apocalyptic number.

314141820 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 314141820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483114240).

314141820 is an abundant number, since it is smaller than the sum of its proper divisors (652086660).

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

314141820 is a wasteful number, since it uses less digits than its factorization.

314141820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12035 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 314141820 is about 17724.0463777321. The cubic root of 314141820 is about 679.7907516494.

The spelling of 314141820 in words is "three hundred fourteen million, one hundred forty-one thousand, eight hundred twenty".