7242405480 has 256 divisors, whose sum is σ = 25450848000. Its totient is φ = 1829108736.

The previous prime is 7242405479. The next prime is 7242405523. The reversal of 7242405480 is 845042427.

7242405480 is a `hidden beast` number, since 7 + 242 + 405 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1657779 + ... + 1662141.

It is an arithmetic number, because the mean of its divisors is an integer number (99417375).

Almost surely, 2^7242405480 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 7242405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725424000).

7242405480 is an abundant number, since it is smaller than the sum of its proper divisors (18208442520).

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

7242405480 is a wasteful number, since it uses less digits than its factorization.

7242405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 7242405480 is about 85102.3235875496. The cubic root of 7242405480 is about 1934.7622807542.

The spelling of 7242405480 in words is "seven billion, two hundred forty-two million, four hundred five thousand, four hundred eighty".