741542400 has 360 divisors, whose sum is σ = 2735817084. Its totient is φ = 191692800.

The previous prime is 741542387. The next prime is 741542401. The reversal of 741542400 is 4245147.

741542400 is a `hidden beast` number, since 7 + 415 + 4 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47114496 + 694427904 = 6864^2 + 26352^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (741542401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4723122 + ... + 4723278.

Almost surely, 2^741542400 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 741542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367908542).

741542400 is an abundant number, since it is smaller than the sum of its proper divisors (1994274684).

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

741542400 is a wasteful number, since it uses less digits than its factorization.

741542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 741542400 is about 27231.2761360903. The cubic root of 741542400 is about 905.1321602217.

Adding to 741542400 its reverse (4245147), we get a palindrome (745787547).

The spelling of 741542400 in words is "seven hundred forty-one million, five hundred forty-two thousand, four hundred".