541782040 has 48 divisors (see below), whose sum is σ = 1260239040. Its totient is φ = 209404800.

The previous prime is 541782023. The next prime is 541782041. The reversal of 541782040 is 40287145.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 541781993 and 541782011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541782041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819310 + ... + 819970.

It is an arithmetic number, because the mean of its divisors is an integer number (26254980).

Almost surely, 2^541782040 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 541782040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630119520).

541782040 is an abundant number, since it is smaller than the sum of its proper divisors (718457000).

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

541782040 is an equidigital number, since it uses as much as digits as its factorization.

541782040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 541782040 is about 23276.2118911132. The cubic root of 541782040 is about 815.2200793235.

The spelling of 541782040 in words is "five hundred forty-one million, seven hundred eighty-two thousand, forty".