454214664 has 96 divisors (see below), whose sum is σ = 1287650520. Its totient is φ = 144488448.

The previous prime is 454214647. The next prime is 454214669. The reversal of 454214664 is 466412454.

454214664 is a `hidden beast` number, since 454 + 2 + 146 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 439237764 + 14976900 = 20958^2 + 3870^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (454214669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139584 + ... + 142800.

Almost surely, 2^454214664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454214664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643825260).

454214664 is an abundant number, since it is smaller than the sum of its proper divisors (833435856).

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

454214664 is a wasteful number, since it uses less digits than its factorization.

454214664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3312 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 454214664 is about 21312.3124977089. The cubic root of 454214664 is about 768.6943996274.

The spelling of 454214664 in words is "four hundred fifty-four million, two hundred fourteen thousand, six hundred sixty-four".