528474240 has 512 divisors, whose sum is σ = 2273702400. Its totient is φ = 113246208.

The previous prime is 528474239. The next prime is 528474259. The reversal of 528474240 is 42474825.

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

It is a junction number, because it is equal to n+sod(n) for n = 528474195 and 528474204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056192 + ... + 2056448.

It is an arithmetic number, because the mean of its divisors is an integer number (4440825).

Almost surely, 2^528474240 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 528474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136851200).

528474240 is an abundant number, since it is smaller than the sum of its proper divisors (1745228160).

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

528474240 is a wasteful number, since it uses less digits than its factorization.

528474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 528474240 is about 22988.5675934800. The cubic root of 528474240 is about 808.4899162658.

It can be divided in two parts, 5284 and 74240, that added together give a square (79524 = 282²).

The spelling of 528474240 in words is "five hundred twenty-eight million, four hundred seventy-four thousand, two hundred forty".