541094400 has 720 divisors, whose sum is σ = 2453825088. Its totient is φ = 110592000.

The previous prime is 541094371. The next prime is 541094419. The reversal of 541094400 is 4490145.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×541094400² = 585566299422720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8870370 + ... + 8870430.

Almost surely, 2^541094400 is an apocalyptic number.

541094400 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 541094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226912544).

541094400 is an abundant number, since it is smaller than the sum of its proper divisors (1912730688).

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

541094400 is a wasteful number, since it uses less digits than its factorization.

541094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 541094400 is about 23261.4358972098. The cubic root of 541094400 is about 814.8750357287.

The spelling of 541094400 in words is "five hundred forty-one million, ninety-four thousand, four hundred".