534899200 has 240 divisors, whose sum is σ = 1507001760. Its totient is φ = 186368000.

The previous prime is 534899177. The next prime is 534899207. The reversal of 534899200 is 2998435.

It is a happy number.

It is a super-2 number, since 2×534899200² = 572234308321280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (534899207) 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, 4083135 + ... + 4083265.

It is an arithmetic number, because the mean of its divisors is an integer number (6279174).

Almost surely, 2^534899200 is an apocalyptic number.

534899200 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 534899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753500880).

534899200 is an abundant number, since it is smaller than the sum of its proper divisors (972102560).

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

534899200 is a wasteful number, since it uses less digits than its factorization.

534899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 534899200 is about 23127.8879277810. The cubic root of 534899200 is about 811.7531503929.

The spelling of 534899200 in words is "five hundred thirty-four million, eight hundred ninety-nine thousand, two hundred".