541400 has 24 divisors (see below), whose sum is σ = 1259220. Its totient is φ = 216480.

The previous prime is 541391. The next prime is 541417. The reversal of 541400 is 4145.

It is a super-2 number, since 2×541400² = 586227920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

541400 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1154 + ... + 1553.

2⁵⁴¹⁴⁰⁰ is an apocalyptic number.

541400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541400 is an abundant number, since it is smaller than the sum of its proper divisors (717820).

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

541400 is a wasteful number, since it uses less digits than its factorization.

541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 541400 is about 735.7988855659. The cubic root of 541400 is about 81.5028415585.

Subtracting from 541400 its product of nonzero digits (80), we obtain a triangular number (541320 = T₁₀₄₀).

Adding to 541400 its reverse (4145), we get a palindrome (545545).

The spelling of 541400 in words is "five hundred forty-one thousand, four hundred".