535868480 has 112 divisors (see below), whose sum is σ = 1505565696. Its totient is φ = 177776640.

The previous prime is 535868477. The next prime is 535868527. The reversal of 535868480 is 84868535.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65582 + ... + 73298.

Almost surely, 2^535868480 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 535868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752782848).

535868480 is an abundant number, since it is smaller than the sum of its proper divisors (969697216).

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

535868480 is a wasteful number, since it uses less digits than its factorization.

535868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 535868480 is about 23148.8332319363. The cubic root of 535868480 is about 812.2431750017.

The spelling of 535868480 in words is "five hundred thirty-five million, eight hundred sixty-eight thousand, four hundred eighty".