541458960 has 160 divisors (see below), whose sum is σ = 2019394560. Its totient is φ = 117241344.

The previous prime is 541458943. The next prime is 541458977. The reversal of 541458960 is 69854145.

It is an interprime number because it is at equal distance from previous prime (541458943) and next prime (541458977).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23439 + ... + 40401.

It is an arithmetic number, because the mean of its divisors is an integer number (12621216).

Almost surely, 2^541458960 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 541458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009697280).

541458960 is an abundant number, since it is smaller than the sum of its proper divisors (1477935600).

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

541458960 is a wasteful number, since it uses less digits than its factorization.

541458960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17005 (or 16999 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 541458960 is about 23269.2707234241. The cubic root of 541458960 is about 815.0580008153.

The spelling of 541458960 in words is "five hundred forty-one million, four hundred fifty-eight thousand, nine hundred sixty".