541492900 has 81 divisors (see below), whose sum is σ = 1279528131. Its totient is φ = 198818880.

The previous prime is 541492883. The next prime is 541492907. The reversal of 541492900 is 9294145.

The square root of 541492900 is 23270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 139570596 + 401922304 = 11814^2 + 20048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541492907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3025011 + ... + 3025189.

Almost surely, 2^541492900 is an apocalyptic number.

541492900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541492900 is the 23270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541492900

541492900 is an abundant number, since it is smaller than the sum of its proper divisors (738035231).

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

541492900 is a wasteful number, since it uses less digits than its factorization.

541492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 541492900 is about 815.0750304165.

The spelling of 541492900 in words is "five hundred forty-one million, four hundred ninety-two thousand, nine hundred".