453504000 has 176 divisors, whose sum is σ = 1509801696. Its totient is φ = 120832000.

The previous prime is 453503971. The next prime is 453504011. The reversal of 453504000 is 405354.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 14.

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, 383410 + ... + 384590.

Almost surely, 2^453504000 is an apocalyptic number.

453504000 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 453504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754900848).

453504000 is an abundant number, since it is smaller than the sum of its proper divisors (1056297696).

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

453504000 is a wasteful number, since it uses less digits than its factorization.

453504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 453504000 is about 21295.6333552210. The cubic root of 453504000 is about 768.2932907590.

Adding to 453504000 its reverse (405354), we get a palindrome (453909354).

The spelling of 453504000 in words is "four hundred fifty-three million, five hundred four thousand".