741038400 has 126 divisors (see below), whose sum is σ = 2633876622. Its totient is φ = 197606400.

The previous prime is 741038383. The next prime is 741038401. The reversal of 741038400 is 4830147.

It can be written as a sum of positive squares in 3 ways, for example, as 32626944 + 708411456 = 5712^2 + 26616^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741038401) 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, 11331 + ... + 40130.

Almost surely, 2^741038400 is an apocalyptic number.

It is an amenable number.

741038400 is an abundant number, since it is smaller than the sum of its proper divisors (1892838222).

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

741038400 is a wasteful number, since it uses less digits than its factorization.

741038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51489 (or 51471 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 741038400 is about 27222.0204981188. The cubic root of 741038400 is about 904.9270516987.

Adding to 741038400 its reverse (4830147), we get a palindrome (745868547).

The spelling of 741038400 in words is "seven hundred forty-one million, thirty-eight thousand, four hundred".