541954080 has 144 divisors (see below), whose sum is σ = 1856214360. Its totient is φ = 143990784.

The previous prime is 541954079. The next prime is 541954087. The reversal of 541954080 is 80459145.

It can be written as a sum of positive squares in 4 ways, for example, as 398241936 + 143712144 = 19956^2 + 11988^2 .

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

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 (541954087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536616 + ... + 537624.

Almost surely, 2^541954080 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 541954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928107180).

541954080 is an abundant number, since it is smaller than the sum of its proper divisors (1314260280).

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

541954080 is a wasteful number, since it uses less digits than its factorization.

541954080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 541954080 is about 23279.9072163099. The cubic root of 541954080 is about 815.3063597890.

The spelling of 541954080 in words is "five hundred forty-one million, nine hundred fifty-four thousand, eighty".