535685400 has 240 divisors, whose sum is σ = 1906258200. Its totient is φ = 139345920.

The previous prime is 535685383. The next prime is 535685417. The reversal of 535685400 is 4586535.

535685400 is a `hidden beast` number, since 53 + 5 + 68 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (535685383) and next prime (535685417).

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 59 ways as a sum of consecutive naturals, for example, 696216 + ... + 696984.

Almost surely, 2^535685400 is an apocalyptic number.

535685400 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 535685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953129100).

535685400 is an abundant number, since it is smaller than the sum of its proper divisors (1370572800).

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

535685400 is a wasteful number, since it uses less digits than its factorization.

535685400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 535685400 is about 23144.8784831548. The cubic root of 535685400 is about 812.1506632354.

The spelling of 535685400 in words is "five hundred thirty-five million, six hundred eighty-five thousand, four hundred".