454853664 has 96 divisors (see below), whose sum is σ = 1330318080. Its totient is φ = 151200000.

The previous prime is 454853647. The next prime is 454853671. The reversal of 454853664 is 466358454.

454853664 is a `hidden beast` number, since 4 + 54 + 8 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605289 + ... + 606039.

It is an arithmetic number, because the mean of its divisors is an integer number (13857480).

Almost surely, 2^454853664 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 454853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665159040).

454853664 is an abundant number, since it is smaller than the sum of its proper divisors (875464416).

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

454853664 is a wasteful number, since it uses less digits than its factorization.

454853664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1457 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 454853664 is about 21327.2985631092. The cubic root of 454853664 is about 769.0547032446.

The spelling of 454853664 in words is "four hundred fifty-four million, eight hundred fifty-three thousand, six hundred sixty-four".