541540400 has 60 divisors (see below), whose sum is σ = 1303531152. Its totient is φ = 216203520.

The previous prime is 541540367. The next prime is 541540421. The reversal of 541540400 is 4045145.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292277 + ... + 294123.

Almost surely, 2^541540400 is an apocalyptic number.

541540400 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 541540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651765576).

541540400 is an abundant number, since it is smaller than the sum of its proper divisors (761990752).

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

541540400 is a wasteful number, since it uses less digits than its factorization.

541540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 541540400 is about 23271.0206050358. The cubic root of 541540400 is about 815.0988626354.

Adding to 541540400 its reverse (4045145), we get a palindrome (545585545).

The spelling of 541540400 in words is "five hundred forty-one million, five hundred forty thousand, four hundred".