314524140 has 384 divisors, whose sum is σ = 1161216000. Its totient is φ = 63221760.

The previous prime is 314524139. The next prime is 314524151. The reversal of 314524140 is 41425413.

It is a self number, because there is not a number n which added to its sum of digits gives 314524140.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10145925 + ... + 10145955.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^314524140 is an apocalyptic number.

314524140 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 314524140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608000).

314524140 is an abundant number, since it is smaller than the sum of its proper divisors (846691860).

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

314524140 is a wasteful number, since it uses less digits than its factorization.

314524140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

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

The square root of 314524140 is about 17734.8284457448. The cubic root of 314524140 is about 680.0664150817.

Adding to 314524140 its reverse (41425413), we get a palindrome (355949553).

The spelling of 314524140 in words is "three hundred fourteen million, five hundred twenty-four thousand, one hundred forty".