541804788 has 120 divisors (see below), whose sum is σ = 1646568000. Its totient is φ = 152140032.

The previous prime is 541804777. The next prime is 541804789. The reversal of 541804788 is 887408145.

It is a super-3 number, since 3×541804788³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541804789) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131788 + ... + 135836.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400).

Almost surely, 2^541804788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541804788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823284000).

541804788 is an abundant number, since it is smaller than the sum of its proper divisors (1104763212).

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

541804788 is a wasteful number, since it uses less digits than its factorization.

541804788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 541804788 is about 23276.7005393806. The cubic root of 541804788 is about 815.2314888114.

The spelling of 541804788 in words is "five hundred forty-one million, eight hundred four thousand, seven hundred eighty-eight".