535945248 has 144 divisors (see below), whose sum is σ = 1594232640. Its totient is φ = 177106176.

The previous prime is 535945237. The next prime is 535945253. The reversal of 535945248 is 842549535.

535945248 is a `hidden beast` number, since 5 + 3 + 594 + 52 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220613 + ... + 1221051.

It is an arithmetic number, because the mean of its divisors is an integer number (11071060).

Almost surely, 2^535945248 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 535945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797116320).

535945248 is an abundant number, since it is smaller than the sum of its proper divisors (1058287392).

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

535945248 is a wasteful number, since it uses less digits than its factorization.

535945248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 601 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 535945248 is about 23150.4913122810. The cubic root of 535945248 is about 812.2819602068.

The spelling of 535945248 in words is "five hundred thirty-five million, nine hundred forty-five thousand, two hundred forty-eight".