744450864 has 80 divisors (see below), whose sum is σ = 1990824960. Its totient is φ = 239466240.

The previous prime is 744450743. The next prime is 744450877. The reversal of 744450864 is 468054447.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007007 + ... + 1007745.

It is an arithmetic number, because the mean of its divisors is an integer number (24885312).

Almost surely, 2^744450864 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 744450864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995412480).

744450864 is an abundant number, since it is smaller than the sum of its proper divisors (1246374096).

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

744450864 is a wasteful number, since it uses less digits than its factorization.

744450864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 744450864 is about 27284.6268803515. The cubic root of 744450864 is about 906.3139807132.

The spelling of 744450864 in words is "seven hundred forty-four million, four hundred fifty thousand, eight hundred sixty-four".