541301904 has 240 divisors, whose sum is σ = 1804717824. Its totient is φ = 149299200.

The previous prime is 541301899. The next prime is 541301927. The reversal of 541301904 is 409103145.

541301904 is a `hidden beast` number, since 541 + 30 + 1 + 90 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1997289 + ... + 1997559.

Almost surely, 2^541301904 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 541301904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902358912).

541301904 is an abundant number, since it is smaller than the sum of its proper divisors (1263415920).

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

541301904 is a wasteful number, since it uses less digits than its factorization.

541301904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 541301904 is about 23265.8957274376. The cubic root of 541301904 is about 814.9791877456.

The spelling of 541301904 in words is "five hundred forty-one million, three hundred one thousand, nine hundred four".