541342400 has 42 divisors (see below), whose sum is σ = 1332044580. Its totient is φ = 216536320.

The previous prime is 541342363. The next prime is 541342423. The reversal of 541342400 is 4243145.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167570 + ... + 170769.

Almost surely, 2^541342400 is an apocalyptic number.

541342400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541342400 is an abundant number, since it is smaller than the sum of its proper divisors (790702180).

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

541342400 is a wasteful number, since it uses less digits than its factorization.

541342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338361 (or 338346 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 541342400 is about 23266.7659978777. The cubic root of 541342400 is about 814.9995107077. Note that the first 3 decimals are identical.

Adding to 541342400 its reverse (4243145), we get a palindrome (545585545).

The spelling of 541342400 in words is "five hundred forty-one million, three hundred forty-two thousand, four hundred".