7280493948 has 384 divisors, whose sum is σ = 24726732800. Its totient is φ = 1798868736.

The previous prime is 7280493947. The next prime is 7280493949. The reversal of 7280493948 is 8493940827.

7280493948 is a `hidden beast` number, since 72 + 80 + 493 + 9 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7280493947) and next prime (7280493949).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7280493894 and 7280493903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7280493947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23714811 + ... + 23715117.

Almost surely, 2^7280493948 is an apocalyptic number.

7280493948 is a gapful number since it is divisible by the number (78) 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 7280493948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363366400).

7280493948 is an abundant number, since it is smaller than the sum of its proper divisors (17446238852).

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

7280493948 is a wasteful number, since it uses less digits than its factorization.

7280493948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 7280493948 is about 85325.8105616349. The cubic root of 7280493948 is about 1938.1480491524.

The spelling of 7280493948 in words is "seven billion, two hundred eighty million, four hundred ninety-three thousand, nine hundred forty-eight".