535749120 has 320 divisors, whose sum is σ = 1991658240. Its totient is φ = 136249344.

The previous prime is 535749089. The next prime is 535749157. The reversal of 535749120 is 21947535.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589592 + ... + 1589928.

It is an arithmetic number, because the mean of its divisors is an integer number (6223932).

Almost surely, 2^535749120 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 535749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995829120).

535749120 is an abundant number, since it is smaller than the sum of its proper divisors (1455909120).

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

535749120 is a wasteful number, since it uses less digits than its factorization.

535749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 535749120 is about 23146.2549886585. The cubic root of 535749120 is about 812.1828638445.

The spelling of 535749120 in words is "five hundred thirty-five million, seven hundred forty-nine thousand, one hundred twenty".