541449216 has 396 divisors, whose sum is σ = 2002211640. Its totient is φ = 139345920.

The previous prime is 541449191. The next prime is 541449229. The reversal of 541449216 is 612944145.

It is a tau number, because it is divible by the number of its divisors (396).

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

Its product of digits (34560) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4967370 + ... + 4967478.

It is an arithmetic number, because the mean of its divisors is an integer number (5056090).

Almost surely, 2^541449216 is an apocalyptic number.

541449216 is a gapful number since it is divisible by the number (56) 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 541449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001105820).

541449216 is an abundant number, since it is smaller than the sum of its proper divisors (1460762424).

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

541449216 is a wasteful number, since it uses less digits than its factorization.

541449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 541449216 is about 23269.0613476350. The cubic root of 541449216 is about 815.0531115726.

The spelling of 541449216 in words is "five hundred forty-one million, four hundred forty-nine thousand, two hundred sixteen".