744800420 has 192 divisors, whose sum is σ = 2039955456. Its totient is φ = 222082560.

The previous prime is 744800401. The next prime is 744800431. The reversal of 744800420 is 24008447.

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 63 ways as a sum of consecutive naturals, for example, 2425907 + ... + 2426213.

It is an arithmetic number, because the mean of its divisors is an integer number (10624768).

Almost surely, 2^744800420 is an apocalyptic number.

744800420 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 744800420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019977728).

744800420 is an abundant number, since it is smaller than the sum of its proper divisors (1295155036).

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

744800420 is a wasteful number, since it uses less digits than its factorization.

744800420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 744800420 is about 27291.0318603017. The cubic root of 744800420 is about 906.4558113934.

Adding to 744800420 its reverse (24008447), we get a palindrome (768808867).

The spelling of 744800420 in words is "seven hundred forty-four million, eight hundred thousand, four hundred twenty".