535947840 has 560 divisors, whose sum is σ = 2124334080. Its totient is φ = 127733760.

The previous prime is 535947803. The next prime is 535947857. The reversal of 535947840 is 48749535.

535947840 is a `hidden beast` number, since 53 + 594 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17288625 + ... + 17288655.

Almost surely, 2^535947840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062167040).

535947840 is an abundant number, since it is smaller than the sum of its proper divisors (1588386240).

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

535947840 is a wasteful number, since it uses less digits than its factorization.

535947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 535947840 is about 23150.5472937466. The cubic root of 535947840 is about 812.2832696885.

The spelling of 535947840 in words is "five hundred thirty-five million, nine hundred forty-seven thousand, eight hundred forty".