744260400 has 720 divisors, whose sum is σ = 3134243840. Its totient is φ = 167961600.

The previous prime is 744260399. The next prime is 744260423. The reversal of 744260400 is 4062447.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24008385 + ... + 24008415.

Almost surely, 2^744260400 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 744260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567121920).

744260400 is an abundant number, since it is smaller than the sum of its proper divisors (2389983440).

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

744260400 is a wasteful number, since it uses less digits than its factorization.

744260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 744260400 is about 27281.1363399694. The cubic root of 744260400 is about 906.2366821666.

The spelling of 744260400 in words is "seven hundred forty-four million, two hundred sixty thousand, four hundred".