522480000 has 320 divisors, whose sum is σ = 1988363520. Its totient is φ = 119040000.

The previous prime is 522479999. The next prime is 522480001. The reversal of 522480000 is 84225.

It is an interprime number because it is at equal distance from previous prime (522479999) and next prime (522480001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679845 + ... + 1680155.

It is an arithmetic number, because the mean of its divisors is an integer number (6213636).

Almost surely, 2^522480000 is an apocalyptic number.

522480000 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 522480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994181760).

522480000 is an abundant number, since it is smaller than the sum of its proper divisors (1465883520).

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

522480000 is an equidigital number, since it uses as much as digits as its factorization.

522480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 522480000 is about 22857.8214184992. The cubic root of 522480000 is about 805.4215093819.

The spelling of 522480000 in words is "five hundred twenty-two million, four hundred eighty thousand".