314555040 has 144 divisors (see below), whose sum is σ = 1091320776. Its totient is φ = 82483200.

The previous prime is 314555039. The next prime is 314555081. The reversal of 314555040 is 40555413.

314555040 is a `hidden beast` number, since 31 + 45 + 550 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 83393424 = 15204^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 314554995 and 314555013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86050 + ... + 89630.

Almost surely, 2^314555040 is an apocalyptic number.

314555040 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 314555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545660388).

314555040 is an abundant number, since it is smaller than the sum of its proper divisors (776765736).

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

314555040 is a wasteful number, since it uses less digits than its factorization.

314555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 314555040 is about 17735.6995915019. The cubic root of 314555040 is about 680.0886850884.

It can be divided in two parts, 3145 and 55040, that added together give a palindrome (58185).

The spelling of 314555040 in words is "three hundred fourteen million, five hundred fifty-five thousand, forty".