541881900 has 360 divisors, whose sum is σ = 2117364480. Its totient is φ = 117106560.

The previous prime is 541881887. The next prime is 541881943. The reversal of 541881900 is 9188145.

It is a super-2 number, since 2×541881900² = 587271987095220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077049 + ... + 1077551.

It is an arithmetic number, because the mean of its divisors is an integer number (5881568).

Almost surely, 2^541881900 is an apocalyptic number.

541881900 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 541881900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058682240).

541881900 is an abundant number, since it is smaller than the sum of its proper divisors (1575482580).

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

541881900 is a wasteful number, since it uses less digits than its factorization.

541881900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 541881900 is about 23278.3569007780. The cubic root of 541881900 is about 815.2701627334.

The spelling of 541881900 in words is "five hundred forty-one million, eight hundred eighty-one thousand, nine hundred".