541700352 has 144 divisors (see below), whose sum is σ = 1618848000. Its totient is φ = 178661376.

The previous prime is 541700351. The next prime is 541700363. The reversal of 541700352 is 253007145.

It is a happy number.

541700352 is a `hidden beast` number, since 541 + 70 + 0 + 3 + 52 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (541700351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753049 + ... + 753767.

It is an arithmetic number, because the mean of its divisors is an integer number (11242000).

Almost surely, 2^541700352 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 541700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809424000).

541700352 is an abundant number, since it is smaller than the sum of its proper divisors (1077147648).

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

541700352 is a wasteful number, since it uses less digits than its factorization.

541700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 541700352 is about 23274.4570720780. The cubic root of 541700352 is about 815.1791052539.

Adding to 541700352 its reverse (253007145), we get a palindrome (794707497).

The spelling of 541700352 in words is "five hundred forty-one million, seven hundred thousand, three hundred fifty-two".