541921952 has 192 divisors, whose sum is σ = 1381847040. Its totient is φ = 205286400.

The previous prime is 541921951. The next prime is 541921967. The reversal of 541921952 is 259129145.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (541921951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999577 + ... + 1999847.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2^541921952 is an apocalyptic number.

541921952 is a gapful number since it is divisible by the number (52) 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 541921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

541921952 is an abundant number, since it is smaller than the sum of its proper divisors (839925088).

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

541921952 is a wasteful number, since it uses less digits than its factorization.

541921952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 32400, while the sum is 38.

The square root of 541921952 is about 23279.2171689685. The cubic root of 541921952 is about 815.2902485345.

The spelling of 541921952 in words is "five hundred forty-one million, nine hundred twenty-one thousand, nine hundred fifty-two".