453564000 has 288 divisors, whose sum is σ = 1652755104. Its totient is φ = 117734400.

The previous prime is 453563993. The next prime is 453564011. The reversal of 453564000 is 465354.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547854 + ... + 1548146.

It is an arithmetic number, because the mean of its divisors is an integer number (5738733).

Almost surely, 2^453564000 is an apocalyptic number.

453564000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826377552).

453564000 is an abundant number, since it is smaller than the sum of its proper divisors (1199191104).

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

453564000 is a wasteful number, since it uses less digits than its factorization.

453564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 453564000 is about 21297.0420481343. The cubic root of 453564000 is about 768.3271718013.

It can be divided in two parts, 453 and 564000, that added together give a triangular number (564453 = T₁₀₆₂).

The spelling of 453564000 in words is "four hundred fifty-three million, five hundred sixty-four thousand".