5322400146 has 96 divisors (see below), whose sum is σ = 13775194368. Its totient is φ = 1452147840.

The previous prime is 5322400129. The next prime is 5322400147. The reversal of 5322400146 is 6410042235.

It is not an unprimeable number, because it can be changed into a prime (5322400147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378140 + ... + 2380376.

It is an arithmetic number, because the mean of its divisors is an integer number (143491608).

Almost surely, 2^5322400146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5322400146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887597184).

5322400146 is an abundant number, since it is smaller than the sum of its proper divisors (8452794222).

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

5322400146 is a wasteful number, since it uses less digits than its factorization.

5322400146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5322400146 is about 72954.7815156759. The cubic root of 5322400146 is about 1745.9662353780.

The spelling of 5322400146 in words is "five billion, three hundred twenty-two million, four hundred thousand, one hundred forty-six".