314456454 has 96 divisors (see below), whose sum is σ = 766584000. Its totient is φ = 92494080.

The previous prime is 314456453. The next prime is 314456459. The reversal of 314456454 is 454654413.

314456454 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 5 + 645 + 4 = 666.

It is a super-2 number, since 2×314456454² = 197765722924508232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314456453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010959 + ... + 1011269.

It is an arithmetic number, because the mean of its divisors is an integer number (7985250).

Almost surely, 2^314456454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314456454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383292000).

314456454 is an abundant number, since it is smaller than the sum of its proper divisors (452127546).

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

314456454 is a wasteful number, since it uses less digits than its factorization.

314456454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 314456454 is about 17732.9200641068. The cubic root of 314456454 is about 680.0176278591.

The spelling of 314456454 in words is "three hundred fourteen million, four hundred fifty-six thousand, four hundred fifty-four".