534049200 has 300 divisors, whose sum is σ = 1959102288. Its totient is φ = 139276800.

The previous prime is 534049199. The next prime is 534049289. The reversal of 534049200 is 2940435.

534049200 is a `hidden beast` number, since 53 + 404 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 1717045 + ... + 1717355.

Almost surely, 2^534049200 is an apocalyptic number.

534049200 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 534049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979551144).

534049200 is an abundant number, since it is smaller than the sum of its proper divisors (1425053088).

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

534049200 is a wasteful number, since it uses less digits than its factorization.

534049200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 534049200 is about 23109.5045381765. The cubic root of 534049200 is about 811.3229409971.

Adding to 534049200 its reverse (2940435), we get a palindrome (536989635).

The spelling of 534049200 in words is "five hundred thirty-four million, forty-nine thousand, two hundred".