742931200 has 216 divisors, whose sum is σ = 2050712496. Its totient is φ = 264192000.

The previous prime is 742931191. The next prime is 742931207. The reversal of 742931200 is 2139247.

It is not an unprimeable number, because it can be changed into a prime (742931207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4294314 + ... + 4294486.

Almost surely, 2^742931200 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 742931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025356248).

742931200 is an abundant number, since it is smaller than the sum of its proper divisors (1307781296).

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

742931200 is a wasteful number, since it uses less digits than its factorization.

742931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 742931200 is about 27256.7642980600. The cubic root of 742931200 is about 905.6968676947.

The spelling of 742931200 in words is "seven hundred forty-two million, nine hundred thirty-one thousand, two hundred".