314440920 has 128 divisors (see below), whose sum is σ = 1052352000. Its totient is φ = 83514240.

The previous prime is 314440873. The next prime is 314440949. The reversal of 314440920 is 29044413.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 387315 + ... + 388125.

It is an arithmetic number, because the mean of its divisors is an integer number (8221500).

Almost surely, 2^314440920 is an apocalyptic number.

314440920 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 314440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176000).

314440920 is an abundant number, since it is smaller than the sum of its proper divisors (737911080).

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

314440920 is a wasteful number, since it uses less digits than its factorization.

314440920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314440920 is about 17732.4820597682. The cubic root of 314440920 is about 680.0064301583.

The spelling of 314440920 in words is "three hundred fourteen million, four hundred forty thousand, nine hundred twenty".