535248000 has 640 divisors, whose sum is σ = 2310422400. Its totient is φ = 120268800.

The previous prime is 535247971. The next prime is 535248017. The reversal of 535248000 is 842535.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071971 + ... + 9072029.

It is an arithmetic number, because the mean of its divisors is an integer number (3610035).

Almost surely, 2^535248000 is an apocalyptic number.

535248000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155211200).

535248000 is an abundant number, since it is smaller than the sum of its proper divisors (1775174400).

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

535248000 is an equidigital number, since it uses as much as digits as its factorization.

535248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 535248000 is about 23135.4273788059. The cubic root of 535248000 is about 811.9295562014.

The spelling of 535248000 in words is "five hundred thirty-five million, two hundred forty-eight thousand".