454433664 has 128 divisors (see below), whose sum is σ = 1298419200. Its totient is φ = 140304384.

The previous prime is 454433663. The next prime is 454433689. The reversal of 454433664 is 466334454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454433663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436857 + ... + 437895.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2^454433664 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 454433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649209600).

454433664 is an abundant number, since it is smaller than the sum of its proper divisors (843985536).

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

454433664 is a wasteful number, since it uses less digits than its factorization.

454433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

The square root of 454433664 is about 21317.4497536643. The cubic root of 454433664 is about 768.8179220045.

The spelling of 454433664 in words is "four hundred fifty-four million, four hundred thirty-three thousand, six hundred sixty-four".