535298400 has 864 divisors, whose sum is σ = 2502339840. Its totient is φ = 104509440.

The previous prime is 535298399. The next prime is 535298417. The reversal of 535298400 is 4892535.

535298400 is a `hidden beast` number, since 53 + 529 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12448779 + ... + 12448821.

Almost surely, 2^535298400 is an apocalyptic number.

535298400 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 535298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

535298400 is an abundant number, since it is smaller than the sum of its proper divisors (1967041440).

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

535298400 is a wasteful number, since it uses less digits than its factorization.

535298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 535298400 is about 23136.5165917430. The cubic root of 535298400 is about 811.9550396939.

The spelling of 535298400 in words is "five hundred thirty-five million, two hundred ninety-eight thousand, four hundred".