534793200 has 120 divisors (see below), whose sum is σ = 1726155888. Its totient is φ = 141527040.

The previous prime is 534793199. The next prime is 534793211. The reversal of 534793200 is 2397435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162774 + ... + 166026.

Almost surely, 2^534793200 is an apocalyptic number.

534793200 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 534793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863077944).

534793200 is an abundant number, since it is smaller than the sum of its proper divisors (1191362688).

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

534793200 is a wasteful number, since it uses less digits than its factorization.

534793200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 534793200 is about 23125.5962085305. The cubic root of 534793200 is about 811.6995256362.

The spelling of 534793200 in words is "five hundred thirty-four million, seven hundred ninety-three thousand, two hundred".