536894400 has 504 divisors, whose sum is σ = 2194641280. Its totient is φ = 112250880.

The previous prime is 536894387. The next prime is 536894417. The reversal of 536894400 is 4498635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18513586 + ... + 18513614.

Almost surely, 2^536894400 is an apocalyptic number.

536894400 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 536894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097320640).

536894400 is an abundant number, since it is smaller than the sum of its proper divisors (1657746880).

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

536894400 is a wasteful number, since it uses less digits than its factorization.

536894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 536894400 is about 23170.9818523083. The cubic root of 536894400 is about 812.7611909777.

The spelling of 536894400 in words is "five hundred thirty-six million, eight hundred ninety-four thousand, four hundred".