541710720 has 512 divisors, whose sum is σ = 2115072000. Its totient is φ = 130572288.

The previous prime is 541710679. The next prime is 541710761. The reversal of 541710720 is 27017145.

It is an interprime number because it is at equal distance from previous prime (541710679) and next prime (541710761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525737 + ... + 11525783.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^541710720 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 541710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057536000).

541710720 is an abundant number, since it is smaller than the sum of its proper divisors (1573361280).

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

541710720 is a wasteful number, since it uses less digits than its factorization.

541710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 541710720 is about 23274.6798044570. The cubic root of 541710720 is about 815.1843059908.

Adding to 541710720 its reverse (27017145), we get a palindrome (568727865).

The spelling of 541710720 in words is "five hundred forty-one million, seven hundred ten thousand, seven hundred twenty".