744998400 has 360 divisors, whose sum is σ = 2770447680. Its totient is φ = 190955520.

The previous prime is 744998399. The next prime is 744998411. The reversal of 744998400 is 4899447.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340689 + ... + 3340911.

It is an arithmetic number, because the mean of its divisors is an integer number (7695688).

Almost surely, 2^744998400 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 744998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385223840).

744998400 is an abundant number, since it is smaller than the sum of its proper divisors (2025449280).

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

744998400 is a wasteful number, since it uses less digits than its factorization.

744998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 744998400 is about 27294.6588181644. The cubic root of 744998400 is about 906.5361211506.

The spelling of 744998400 in words is "seven hundred forty-four million, nine hundred ninety-eight thousand, four hundred".