7482848400 has 360 divisors, whose sum is σ = 26697041280. Its totient is φ = 1940290560.

The previous prime is 7482848389. The next prime is 7482848411. The reversal of 7482848400 is 48482847.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7482848389) and next prime (7482848411).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23605042 + ... + 23605358.

It is an arithmetic number, because the mean of its divisors is an integer number (74158448).

Almost surely, 2^7482848400 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 7482848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348520640).

7482848400 is an abundant number, since it is smaller than the sum of its proper divisors (19214192880).

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

7482848400 is a wasteful number, since it uses less digits than its factorization.

7482848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 7482848400 is about 86503.4588903819. The cubic root of 7482848400 is about 1955.9405429378.

The spelling of 7482848400 in words is "seven billion, four hundred eighty-two million, eight hundred forty-eight thousand, four hundred".