534580800 has 252 divisors, whose sum is σ = 1902043440. Its totient is φ = 131389440.

The previous prime is 534580763. The next prime is 534580811. The reversal of 534580800 is 8085435.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 810871 + ... + 811529.

Almost surely, 2^534580800 is an apocalyptic number.

534580800 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 534580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951021720).

534580800 is an abundant number, since it is smaller than the sum of its proper divisors (1367462640).

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

534580800 is a wasteful number, since it uses less digits than its factorization.

534580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 682 counting only the distinct ones).

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

The square root of 534580800 is about 23121.0034384323. The cubic root of 534580800 is about 811.5920524369.

The spelling of 534580800 in words is "five hundred thirty-four million, five hundred eighty thousand, eight hundred".