541355904 has 96 divisors (see below), whose sum is σ = 1639864200. Its totient is φ = 170947584.

The previous prime is 541355897. The next prime is 541355921. The reversal of 541355904 is 409553145.

541355904 is a `hidden beast` number, since 54 + 13 + 5 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9522 + ... + 34254.

Almost surely, 2^541355904 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 541355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819932100).

541355904 is an abundant number, since it is smaller than the sum of its proper divisors (1098508296).

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

541355904 is a wasteful number, since it uses less digits than its factorization.

541355904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24772 (or 24757 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 541355904 is about 23267.0561954021. The cubic root of 541355904 is about 815.0062874796.

The spelling of 541355904 in words is "five hundred forty-one million, three hundred fifty-five thousand, nine hundred four".