541393920 has 264 divisors, whose sum is σ = 1941538560. Its totient is φ = 139345920.

The previous prime is 541393903. The next prime is 541393927. The reversal of 541393920 is 29393145.

It is a happy number.

541393920 is a `hidden beast` number, since 541 + 3 + 93 + 9 + 20 = 666.

It is a super-2 number, since 2×541393920² = 586214753225932800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (541393927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428291 + ... + 1428669.

Almost surely, 2^541393920 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 541393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970769280).

541393920 is an abundant number, since it is smaller than the sum of its proper divisors (1400144640).

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

541393920 is a wasteful number, since it uses less digits than its factorization.

541393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 541393920 is about 23267.8731301337. The cubic root of 541393920 is about 815.0253646114.

The spelling of 541393920 in words is "five hundred forty-one million, three hundred ninety-three thousand, nine hundred twenty".