535420032 has 128 divisors (see below), whose sum is σ = 1721139840. Its totient is φ = 143966208.

The previous prime is 535420031. The next prime is 535420073. The reversal of 535420032 is 230024535.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×535420032² = 573349221333762048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 535419984 and 535420011.

It is not an unprimeable number, because it can be changed into a prime (535420031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39838 + ... + 51554.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^535420032 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 535420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920).

535420032 is an abundant number, since it is smaller than the sum of its proper divisors (1185719808).

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

535420032 is a wasteful number, since it uses less digits than its factorization.

535420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 535420032 is about 23139.1450144555. The cubic root of 535420032 is about 812.0165332685.

Adding to 535420032 its reverse (230024535), we get a palindrome (765444567).

The spelling of 535420032 in words is "five hundred thirty-five million, four hundred twenty thousand, thirty-two".