541298400 has 144 divisors (see below), whose sum is σ = 1805228208. Its totient is φ = 140800000.

The previous prime is 541298357. The next prime is 541298453. The reversal of 541298400 is 4892145.

541298400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95650 + ... + 101150.

It is an arithmetic number, because the mean of its divisors is an integer number (12536307).

Almost surely, 2^541298400 is an apocalyptic number.

541298400 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 541298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902614104).

541298400 is an abundant number, since it is smaller than the sum of its proper divisors (1263929808).

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

541298400 is a wasteful number, since it uses less digits than its factorization.

541298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 541298400 is about 23265.8204239610. The cubic root of 541298400 is about 814.9774292117.

The spelling of 541298400 in words is "five hundred forty-one million, two hundred ninety-eight thousand, four hundred".