535251456 has 160 divisors (see below), whose sum is σ = 1636800000. Its totient is φ = 172523520.

The previous prime is 535251449. The next prime is 535251491. The reversal of 535251456 is 654152535.

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

It is a self number, because there is not a number n which added to its sum of digits gives 535251456.

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, 427920 + ... + 429168.

It is an arithmetic number, because the mean of its divisors is an integer number (10230000).

Almost surely, 2^535251456 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 535251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818400000).

535251456 is an abundant number, since it is smaller than the sum of its proper divisors (1101548544).

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

535251456 is a wasteful number, since it uses less digits than its factorization.

535251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1285 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 535251456 is about 23135.5020693306. The cubic root of 535251456 is about 811.9313036919.

The spelling of 535251456 in words is "five hundred thirty-five million, two hundred fifty-one thousand, four hundred fifty-six".