535434400 has 72 divisors (see below), whose sum is σ = 1342531260. Its totient is φ = 208373760.

The previous prime is 535434371. The next prime is 535434401. The reversal of 535434400 is 4434535.

It can be written as a sum of positive squares in 6 ways, for example, as 431475984 + 103958416 = 20772^2 + 10196^2 .

It is not an unprimeable number, because it can be changed into a prime (535434401) 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, 20556 + ... + 38644.

Almost surely, 2^535434400 is an apocalyptic number.

535434400 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 535434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671265630).

535434400 is an abundant number, since it is smaller than the sum of its proper divisors (807096860).

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

535434400 is a wasteful number, since it uses less digits than its factorization.

535434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18146 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 535434400 is about 23139.4554819252. The cubic root of 535434400 is about 812.0237966931.

Adding to 535434400 its reverse (4434535), we get a palindrome (539868935).

The spelling of 535434400 in words is "five hundred thirty-five million, four hundred thirty-four thousand, four hundred".