534034400 has 72 divisors (see below), whose sum is σ = 1316571984. Its totient is φ = 211507200.

The previous prime is 534034343. The next prime is 534034409. The reversal of 534034400 is 4430435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534034409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79160 + ... + 85640.

It is an arithmetic number, because the mean of its divisors is an integer number (18285722).

Almost surely, 2^534034400 is an apocalyptic number.

534034400 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 534034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658285992).

534034400 is an abundant number, since it is smaller than the sum of its proper divisors (782537584).

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

534034400 is a wasteful number, since it uses less digits than its factorization.

534034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 534034400 is about 23109.1843213905. The cubic root of 534034400 is about 811.3154462504.

Adding to 534034400 its reverse (4430435), we get a palindrome (538464835).

The spelling of 534034400 in words is "five hundred thirty-four million, thirty-four thousand, four hundred".