534976800 has 144 divisors (see below), whose sum is σ = 1759387392. Its totient is φ = 141184000.

The previous prime is 534976769. The next prime is 534976807. The reversal of 534976800 is 8679435.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (534976807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241297 + ... + 243503.

It is an arithmetic number, because the mean of its divisors is an integer number (12217968).

Almost surely, 2^534976800 is an apocalyptic number.

534976800 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 534976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879693696).

534976800 is an abundant number, since it is smaller than the sum of its proper divisors (1224410592).

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

534976800 is a wasteful number, since it uses less digits than its factorization.

534976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 534976800 is about 23129.5654952703. The cubic root of 534976800 is about 811.7924032706.

The spelling of 534976800 in words is "five hundred thirty-four million, nine hundred seventy-six thousand, eight hundred".