535412400 has 240 divisors, whose sum is σ = 1885712640. Its totient is φ = 129254400.

The previous prime is 535412387. The next prime is 535412407. The reversal of 535412400 is 4214535.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (535412407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523890 + ... + 524910.

It is an arithmetic number, because the mean of its divisors is an integer number (7857136).

Almost surely, 2^535412400 is an apocalyptic number.

535412400 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 535412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942856320).

535412400 is an abundant number, since it is smaller than the sum of its proper divisors (1350300240).

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

535412400 is a wasteful number, since it uses less digits than its factorization.

535412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 535412400 is about 23138.9800985264. The cubic root of 535412400 is about 812.0126750268.

Adding to 535412400 its reverse (4214535), we get a palindrome (539626935).

The spelling of 535412400 in words is "five hundred thirty-five million, four hundred twelve thousand, four hundred".