742032480 has 192 divisors, whose sum is σ = 2726438400. Its totient is φ = 169569792.

The previous prime is 742032451. The next prime is 742032491. The reversal of 742032480 is 84230247.

742032480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×742032480² = 1101224402749900800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162387 + ... + 166893.

It is an arithmetic number, because the mean of its divisors is an integer number (14200200).

Almost surely, 2^742032480 is an apocalyptic number.

742032480 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 742032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363219200).

742032480 is an abundant number, since it is smaller than the sum of its proper divisors (1984405920).

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

742032480 is a wasteful number, since it uses less digits than its factorization.

742032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 742032480 is about 27240.2731263840. The cubic root of 742032480 is about 905.3315147399.

The spelling of 742032480 in words is "seven hundred forty-two million, thirty-two thousand, four hundred eighty".