743270400 has 216 divisors, whose sum is σ = 2663559990. Its totient is φ = 198082560.

The previous prime is 743270371. The next prime is 743270401. The reversal of 743270400 is 4072347.

It can be written as a sum of positive squares in 3 ways, for example, as 589906944 + 153363456 = 24288^2 + 12384^2 .

It is not an unprimeable number, because it can be changed into a prime (743270401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459994 + ... + 461606.

Almost surely, 2^743270400 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 743270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331779995).

743270400 is an abundant number, since it is smaller than the sum of its proper divisors (1920289590).

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

743270400 is a wasteful number, since it uses less digits than its factorization.

743270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 743270400 is about 27262.9858966328. The cubic root of 743270400 is about 905.8346846889.

The spelling of 743270400 in words is "seven hundred forty-three million, two hundred seventy thousand, four hundred".