534139200 has 378 divisors, whose sum is σ = 2211326286. Its totient is φ = 121927680.

The previous prime is 534139187. The next prime is 534139211. The reversal of 534139200 is 2931435.

It can be written as a sum of positive squares in 3 ways, for example, as 49787136 + 484352064 = 7056^2 + 22008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705222 + ... + 705978.

Almost surely, 2^534139200 is an apocalyptic number.

534139200 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 534139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105663143).

534139200 is an abundant number, since it is smaller than the sum of its proper divisors (1677187086).

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

534139200 is a wasteful number, since it uses less digits than its factorization.

534139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 534139200 is about 23111.4517068920. The cubic root of 534139200 is about 811.3685141785.

The spelling of 534139200 in words is "five hundred thirty-four million, one hundred thirty-nine thousand, two hundred".