746442400 has 144 divisors (see below), whose sum is σ = 2001621888. Its totient is φ = 269568000.

The previous prime is 746442349. The next prime is 746442413. The reversal of 746442400 is 4244647.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2384644 + ... + 2384956.

It is an arithmetic number, because the mean of its divisors is an integer number (13900152).

Almost surely, 2^746442400 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 746442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000810944).

746442400 is an abundant number, since it is smaller than the sum of its proper divisors (1255179488).

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

746442400 is a wasteful number, since it uses less digits than its factorization.

746442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 746442400 is about 27321.0980745650. The cubic root of 746442400 is about 907.1214438022.

The spelling of 746442400 in words is "seven hundred forty-six million, four hundred forty-two thousand, four hundred".