535125400 has 96 divisors (see below), whose sum is σ = 1295676000. Its totient is φ = 205291520.

The previous prime is 535125391. The next prime is 535125401. The reversal of 535125400 is 4521535.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535125401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490421 + ... + 1490779.

It is an arithmetic number, because the mean of its divisors is an integer number (13496625).

Almost surely, 2^535125400 is an apocalyptic number.

535125400 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 535125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647838000).

535125400 is an abundant number, since it is smaller than the sum of its proper divisors (760550600).

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

535125400 is a wasteful number, since it uses less digits than its factorization.

535125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 535125400 is about 23132.7776110004. Note that the first 3 decimals coincide. The cubic root of 535125400 is about 811.8675599151.

Adding to 535125400 its reverse (4521535), we get a palindrome (539646935).

The spelling of 535125400 in words is "five hundred thirty-five million, one hundred twenty-five thousand, four hundred".