541961856 has 48 divisors (see below), whose sum is σ = 1559555010. Its totient is φ = 180653568.

The previous prime is 541961839. The next prime is 541961873. The reversal of 541961856 is 658169145.

541961856 is a `hidden beast` number, since 541 + 96 + 18 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (541961839) and next prime (541961873).

It can be written as a sum of positive squares in only one way, i.e., 328334400 + 213627456 = 18120^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×541961856³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234075 + ... + 236378.

Almost surely, 2^541961856 is an apocalyptic number.

It is an amenable number.

541961856 is an abundant number, since it is smaller than the sum of its proper divisors (1017593154).

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

541961856 is a wasteful number, since it uses less digits than its factorization.

541961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470473 (or 470458 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 541961856 is about 23280.0742266858. The cubic root of 541961856 is about 815.3102591304.

The spelling of 541961856 in words is "five hundred forty-one million, nine hundred sixty-one thousand, eight hundred fifty-six".