744275952 has 480 divisors, whose sum is σ = 2729825280. Its totient is φ = 191600640.

The previous prime is 744275947. The next prime is 744275957. The reversal of 744275952 is 259572447.

It is an interprime number because it is at equal distance from previous prime (744275947) and next prime (744275957).

Its product of digits (705600) is a multiple of the sum of its prime divisors (105).

It is a junction number, because it is equal to n+sod(n) for n = 744275898 and 744275907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744275957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18153052 + ... + 18153092.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^744275952 is an apocalyptic number.

744275952 is a gapful number since it is divisible by the number (72) 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 744275952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

744275952 is an abundant number, since it is smaller than the sum of its proper divisors (1985549328).

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

744275952 is a wasteful number, since it uses less digits than its factorization.

744275952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 744275952 is about 27281.4213705958. The cubic root of 744275952 is about 906.2429943366.

The spelling of 744275952 in words is "seven hundred forty-four million, two hundred seventy-five thousand, nine hundred fifty-two".