314733840 has 240 divisors, whose sum is σ = 1063140288. Its totient is φ = 76944384.

The previous prime is 314733833. The next prime is 314733847. The reversal of 314733840 is 48337413.

It is an interprime number because it is at equal distance from previous prime (314733833) and next prime (314733847).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×314733840² = 198114780082291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314733847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4697487 + ... + 4697553.

Almost surely, 2^314733840 is an apocalyptic number.

314733840 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 314733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531570144).

314733840 is an abundant number, since it is smaller than the sum of its proper divisors (748406448).

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

314733840 is a wasteful number, since it uses less digits than its factorization.

314733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 314733840 is about 17740.7395561741. The cubic root of 314733840 is about 680.2175198006.

The spelling of 314733840 in words is "three hundred fourteen million, seven hundred thirty-three thousand, eight hundred forty".