7284413952 has 360 divisors, whose sum is σ = 23105150640. Its totient is φ = 2206310400.

The previous prime is 7284413891. The next prime is 7284414013. The reversal of 7284413952 is 2593144827.

7284413952 is a `hidden beast` number, since 72 + 84 + 413 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7284413891) and next prime (7284414013).

It is a junction number, because it is equal to n+sod(n) for n = 7284413898 and 7284413907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48241077 + ... + 48241227.

It is an arithmetic number, because the mean of its divisors is an integer number (64180974).

Almost surely, 2^7284413952 is an apocalyptic number.

7284413952 is a gapful number since it is divisible by the number (72) 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 7284413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552575320).

7284413952 is an abundant number, since it is smaller than the sum of its proper divisors (15820736688).

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

7284413952 is a wasteful number, since it uses less digits than its factorization.

7284413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 204 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 7284413952 is about 85348.7782689360. The cubic root of 7284413952 is about 1938.4958362209.

The spelling of 7284413952 in words is "seven billion, two hundred eighty-four million, four hundred thirteen thousand, nine hundred fifty-two".