742221480 has 512 divisors, whose sum is σ = 3088834560. Its totient is φ = 137687040.

The previous prime is 742221461. The next prime is 742221481. The reversal of 742221480 is 84122247.

742221480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (742221481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4444357 + ... + 4444523.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^742221480 is an apocalyptic number.

742221480 is a gapful number since it is divisible by the number (70) 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 742221480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

742221480 is an abundant number, since it is smaller than the sum of its proper divisors (2346613080).

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

742221480 is a wasteful number, since it uses less digits than its factorization.

742221480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 742221480 is about 27243.7420337222. The cubic root of 742221480 is about 905.4083726204.

It can be divided in two parts, 742 and 221480, that added together give a palindrome (222222).

The spelling of 742221480 in words is "seven hundred forty-two million, two hundred twenty-one thousand, four hundred eighty".