528414480 has 240 divisors, whose sum is σ = 1954053504. Its totient is φ = 126904320.

The previous prime is 528414473. The next prime is 528414493. The reversal of 528414480 is 84414825.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084797 + ... + 1085283.

Almost surely, 2^528414480 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 528414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977026752).

528414480 is an abundant number, since it is smaller than the sum of its proper divisors (1425639024).

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

528414480 is a wasteful number, since it uses less digits than its factorization.

528414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 528414480 is about 22987.2677802300. The cubic root of 528414480 is about 808.4594403693.

The spelling of 528414480 in words is "five hundred twenty-eight million, four hundred fourteen thousand, four hundred eighty".