541344400 has 60 divisors (see below), whose sum is σ = 1310634864. Its totient is φ = 214864000.

The previous prime is 541344383. The next prime is 541344437. The reversal of 541344400 is 4443145.

It is a super-2 number, since 2×541344400² = 586107518822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47235 + ... + 57565.

Almost surely, 2^541344400 is an apocalyptic number.

541344400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655317432).

541344400 is an abundant number, since it is smaller than the sum of its proper divisors (769290464).

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

541344400 is a wasteful number, since it uses less digits than its factorization.

541344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 541344400 is about 23266.8089775973. The cubic root of 541344400 is about 815.0005143836. Note that the first 3 decimals are identical.

Adding to 541344400 its reverse (4443145), we get a palindrome (545787545).

The spelling of 541344400 in words is "five hundred forty-one million, three hundred forty-four thousand, four hundred".