534371200 has 384 divisors, whose sum is σ = 1639180800. Its totient is φ = 169574400.

The previous prime is 534371177. The next prime is 534371221. The reversal of 534371200 is 2173435.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 11369577 + ... + 11369623.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^534371200 is an apocalyptic number.

534371200 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 534371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

534371200 is an abundant number, since it is smaller than the sum of its proper divisors (1104809600).

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

534371200 is a wasteful number, since it uses less digits than its factorization.

534371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 534371200 is about 23116.4703188008. The cubic root of 534371200 is about 811.4859681110.

The spelling of 534371200 in words is "five hundred thirty-four million, three hundred seventy-one thousand, two hundred".