314545440 has 192 divisors, whose sum is σ = 1108017792. Its totient is φ = 74342400.

The previous prime is 314545403. The next prime is 314545453. The reversal of 314545440 is 44545413.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314545398 and 314545407.

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, 215754 + ... + 217206.

It is an arithmetic number, because the mean of its divisors is an integer number (5770926).

Almost surely, 2^314545440 is an apocalyptic number.

314545440 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 314545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554008896).

314545440 is an abundant number, since it is smaller than the sum of its proper divisors (793472352).

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

314545440 is a wasteful number, since it uses less digits than its factorization.

314545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 314545440 is about 17735.4289488583. The cubic root of 314545440 is about 680.0817664075.

The spelling of 314545440 in words is "three hundred fourteen million, five hundred forty-five thousand, four hundred forty".