534508800 has 432 divisors, whose sum is σ = 2086449792. Its totient is φ = 117964800.

The previous prime is 534508721. The next prime is 534508801. The reversal of 534508800 is 8805435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534508801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5510352 + ... + 5510448.

Almost surely, 2^534508800 is an apocalyptic number.

534508800 is a gapful number since it is divisible by the number (50) 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 534508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043224896).

534508800 is an abundant number, since it is smaller than the sum of its proper divisors (1551940992).

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

534508800 is a wasteful number, since it uses less digits than its factorization.

534508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 534508800 is about 23119.4463601532. The cubic root of 534508800 is about 811.5556143834. Note that the first 3 decimals are identical.

The spelling of 534508800 in words is "five hundred thirty-four million, five hundred eight thousand, eight hundred".