742424480 has 144 divisors (see below), whose sum is σ = 2053678536. Its totient is φ = 252887040.

The previous prime is 742424453. The next prime is 742424491. The reversal of 742424480 is 84424247.

It can be written as a sum of positive squares in 4 ways, for example, as 575808016 + 166616464 = 23996^2 + 12908^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 742424480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2202872 + ... + 2203208.

Almost surely, 2^742424480 is an apocalyptic number.

742424480 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 742424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026839268).

742424480 is an abundant number, since it is smaller than the sum of its proper divisors (1311254056).

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

742424480 is a wasteful number, since it uses less digits than its factorization.

742424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 742424480 is about 27247.4674052470. The cubic root of 742424480 is about 905.4909091456.

The spelling of 742424480 in words is "seven hundred forty-two million, four hundred twenty-four thousand, four hundred eighty".