744285000 has 240 divisors, whose sum is σ = 2448903600. Its totient is φ = 188384000.

The previous prime is 744284993. The next prime is 744285019. The reversal of 744285000 is 582447.

It is a super-2 number, since 2×744285000² = 1107920322450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12614971 + ... + 12615029.

It is an arithmetic number, because the mean of its divisors is an integer number (10203765).

Almost surely, 2^744285000 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 744285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224451800).

744285000 is an abundant number, since it is smaller than the sum of its proper divisors (1704618600).

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

744285000 is a wasteful number, since it uses less digits than its factorization.

744285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 744285000 is about 27281.5871972288. The cubic root of 744285000 is about 906.2466666544.

The spelling of 744285000 in words is "seven hundred forty-four million, two hundred eighty-five thousand".