535044400 has 240 divisors, whose sum is σ = 1554329088. Its totient is φ = 174592000.

The previous prime is 535044371. The next prime is 535044413. The reversal of 535044400 is 4440535.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720245 + ... + 1720555.

Almost surely, 2^535044400 is an apocalyptic number.

535044400 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 535044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777164544).

535044400 is an abundant number, since it is smaller than the sum of its proper divisors (1019284688).

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

535044400 is a wasteful number, since it uses less digits than its factorization.

535044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 535044400 is about 23131.0267822248. The cubic root of 535044400 is about 811.8265946942.

Adding to 535044400 its reverse (4440535), we get a palindrome (539484935).

The spelling of 535044400 in words is "five hundred thirty-five million, forty-four thousand, four hundred".