744016000 has 384 divisors, whose sum is σ = 2349088560. Its totient is φ = 232243200.

The previous prime is 744015991. The next prime is 744016001. The reversal of 744016000 is 610447.

It can be written as a sum of positive squares in 8 ways, for example, as 254016 + 743761984 = 504^2 + 27272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744016001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10191964 + ... + 10192036.

Almost surely, 2^744016000 is an apocalyptic number.

744016000 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 744016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174544280).

744016000 is an abundant number, since it is smaller than the sum of its proper divisors (1605072560).

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

744016000 is a wasteful number, since it uses less digits than its factorization.

744016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 744016000 is about 27276.6566866249. The cubic root of 744016000 is about 906.1374747327.

Adding to 744016000 its reverse (610447), we get a palindrome (744626447).

The spelling of 744016000 in words is "seven hundred forty-four million, sixteen thousand".