535419864 has 144 divisors (see below), whose sum is σ = 1723269600. Its totient is φ = 149675904.

The previous prime is 535419851. The next prime is 535419883. The reversal of 535419864 is 468914535.

It is a super-3 number, since 3×535419864³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164202 + ... + 167430.

It is an arithmetic number, because the mean of its divisors is an integer number (11967150).

Almost surely, 2^535419864 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 535419864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861634800).

535419864 is an abundant number, since it is smaller than the sum of its proper divisors (1187849736).

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

535419864 is a wasteful number, since it uses less digits than its factorization.

535419864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3288 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 535419864 is about 23139.1413842433. The cubic root of 535419864 is about 812.0164483390.

The spelling of 535419864 in words is "five hundred thirty-five million, four hundred nineteen thousand, eight hundred sixty-four".