744070400 has 216 divisors, whose sum is σ = 2014975200. Its totient is φ = 270950400.

The previous prime is 744070373. The next prime is 744070421. The reversal of 744070400 is 4070447.

It is a self number, because there is not a number n which added to its sum of digits gives 744070400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3526295 + ... + 3526505.

Almost surely, 2^744070400 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 744070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007487600).

744070400 is an abundant number, since it is smaller than the sum of its proper divisors (1270904800).

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

744070400 is a wasteful number, since it uses less digits than its factorization.

744070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 744070400 is about 27277.6538580575. The cubic root of 744070400 is about 906.1595587906.

The spelling of 744070400 in words is "seven hundred forty-four million, seventy thousand, four hundred".