535112400 has 180 divisors, whose sum is σ = 1822086752. Its totient is φ = 134215680.

The previous prime is 535112399. The next prime is 535112401. The reversal of 535112400 is 4211535.

It is an interprime number because it is at equal distance from previous prime (535112399) and next prime (535112401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535112401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346029 + ... + 347571.

Almost surely, 2^535112400 is an apocalyptic number.

535112400 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 535112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911043376).

535112400 is an abundant number, since it is smaller than the sum of its proper divisors (1286974352).

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

535112400 is a wasteful number, since it uses less digits than its factorization.

535112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 535112400 is about 23132.4966227167. The cubic root of 535112400 is about 811.8609855285.

Adding to 535112400 its reverse (4211535), we get a palindrome (539323935).

The spelling of 535112400 in words is "five hundred thirty-five million, one hundred twelve thousand, four hundred".