453557664 has 192 divisors, whose sum is σ = 1591833600. Its totient is φ = 122736384.

The previous prime is 453557659. The next prime is 453557669. The reversal of 453557664 is 466755354.

453557664 is a `hidden beast` number, since 4 + 535 + 57 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (453557659) and next prime (453557669).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (453557669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112939 + ... + 116885.

It is an arithmetic number, because the mean of its divisors is an integer number (8290800).

Almost surely, 2^453557664 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 453557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795916800).

453557664 is an abundant number, since it is smaller than the sum of its proper divisors (1138275936).

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

453557664 is a wasteful number, since it uses less digits than its factorization.

453557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3978 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 453557664 is about 21296.8932945629. The cubic root of 453557664 is about 768.3235941044.

The spelling of 453557664 in words is "four hundred fifty-three million, five hundred fifty-seven thousand, six hundred sixty-four".