534240400 has 60 divisors (see below), whose sum is σ = 1296073792. Its totient is φ = 211605120.

The previous prime is 534240397. The next prime is 534240403. The reversal of 534240400 is 4042435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534240397) and next prime (534240403).

It is not an unprimeable number, because it can be changed into a prime (534240403) 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, 34717 + ... + 47683.

Almost surely, 2^534240400 is an apocalyptic number.

534240400 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 534240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648036896).

534240400 is an abundant number, since it is smaller than the sum of its proper divisors (761833392).

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

534240400 is a wasteful number, since it uses less digits than its factorization.

534240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13088 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 534240400 is about 23113.6409940104. The cubic root of 534240400 is about 811.4197525751.

Adding to 534240400 its reverse (4042435), we get a palindrome (538282835).

The spelling of 534240400 in words is "five hundred thirty-four million, two hundred forty thousand, four hundred".