534022400 has 108 divisors (see below), whose sum is σ = 1331974644. Its totient is φ = 211968000.

The previous prime is 534022387. The next prime is 534022409. The reversal of 534022400 is 4220435.

It can be written as a sum of positive squares in 6 ways, for example, as 157351936 + 376670464 = 12544^2 + 19408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (534022409) 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, 1158170 + ... + 1158630.

Almost surely, 2^534022400 is an apocalyptic number.

534022400 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 534022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665987322).

534022400 is an abundant number, since it is smaller than the sum of its proper divisors (797952244).

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

534022400 is a wasteful number, since it uses less digits than its factorization.

534022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 534022400 is about 23108.9246829012. The cubic root of 534022400 is about 811.3093693270.

Adding to 534022400 its reverse (4220435), we get a palindrome (538242835).

The spelling of 534022400 in words is "five hundred thirty-four million, twenty-two thousand, four hundred".