528253440 has 480 divisors, whose sum is σ = 2048815296. Its totient is φ = 115015680.

The previous prime is 528253433. The next prime is 528253441. The reversal of 528253440 is 44352825.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (528253441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14277102 + ... + 14277138.

Almost surely, 2^528253440 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 528253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024407648).

528253440 is an abundant number, since it is smaller than the sum of its proper divisors (1520561856).

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

528253440 is a wasteful number, since it uses less digits than its factorization.

528253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 528253440 is about 22983.7647046780. The cubic root of 528253440 is about 808.3773031195.

It can be divided in two parts, 52825 and 3440, that added together give a palindrome (56265).

The spelling of 528253440 in words is "five hundred twenty-eight million, two hundred fifty-three thousand, four hundred forty".