541396224 has 144 divisors (see below), whose sum is σ = 1622445440. Its totient is φ = 180278784.

The previous prime is 541396211. The next prime is 541396253. The reversal of 541396224 is 422693145.

It is a happy number.

541396224 is a `hidden beast` number, since 5 + 41 + 396 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×541396224² = 586219742722916352, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559389 + ... + 560355.

Almost surely, 2^541396224 is an apocalyptic number.

541396224 is a gapful number since it is divisible by the number (54) 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 541396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811222720).

541396224 is an abundant number, since it is smaller than the sum of its proper divisors (1081049216).

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

541396224 is an frugal number, since it uses more digits than its factorization.

541396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 972 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 541396224 is about 23267.9226404078. The cubic root of 541396224 is about 815.0265207725.

The spelling of 541396224 in words is "five hundred forty-one million, three hundred ninety-six thousand, two hundred twenty-four".