314415420 has 96 divisors (see below), whose sum is σ = 1010983680. Its totient is φ = 72207360.

The previous prime is 314415379. The next prime is 314415421. The reversal of 314415420 is 24514413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314415421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4 + ... + 25076.

It is an arithmetic number, because the mean of its divisors is an integer number (10531080).

Almost surely, 2^314415420 is an apocalyptic number.

314415420 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 314415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505491840).

314415420 is an abundant number, since it is smaller than the sum of its proper divisors (696568260).

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

314415420 is a wasteful number, since it uses less digits than its factorization.

314415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25115 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 314415420 is about 17731.7630257118. The cubic root of 314415420 is about 679.9880476561.

Adding to 314415420 its reverse (24514413), we get a palindrome (338929833).

The spelling of 314415420 in words is "three hundred fourteen million, four hundred fifteen thousand, four hundred twenty".