541288400 has 30 divisors (see below), whose sum is σ = 1300446342. Its totient is φ = 216515200.

The previous prime is 541288399. The next prime is 541288409. The reversal of 541288400 is 4882145.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 64128064 + 477160336 = 8008^2 + 21844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541288409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 676211 + ... + 677010.

Almost surely, 2^541288400 is an apocalyptic number.

541288400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541288400 is an abundant number, since it is smaller than the sum of its proper divisors (759157942).

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

541288400 is a wasteful number, since it uses less digits than its factorization.

541288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353239 (or 1353228 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 541288400 is about 23265.6055154384. The cubic root of 541288400 is about 814.9724105230.

The spelling of 541288400 in words is "five hundred forty-one million, two hundred eighty-eight thousand, four hundred".