319416420 has 48 divisors (see below), whose sum is σ = 895527360. Its totient is φ = 85067136.

The previous prime is 319416401. The next prime is 319416431. The reversal of 319416420 is 24614913.

It is a super-3 number, since 3×319416420³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49966 + ... + 55994.

It is an arithmetic number, because the mean of its divisors is an integer number (18656820).

Almost surely, 2^319416420 is an apocalyptic number.

319416420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

319416420 is an abundant number, since it is smaller than the sum of its proper divisors (576110940).

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

319416420 is a wasteful number, since it uses less digits than its factorization.

319416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 319416420 is about 17872.2248195349. The cubic root of 319416420 is about 683.5743307531.

The spelling of 319416420 in words is "three hundred nineteen million, four hundred sixteen thousand, four hundred twenty".