541516248 has 144 divisors (see below), whose sum is σ = 1837442880. Its totient is φ = 142805376.

The previous prime is 541516223. The next prime is 541516253. The reversal of 541516248 is 842615145.

It is a happy number.

541516248 is a `hidden beast` number, since 541 + 51 + 62 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39961 + ... + 51767.

It is an arithmetic number, because the mean of its divisors is an integer number (12760020).

Almost surely, 2^541516248 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 541516248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918721440).

541516248 is an abundant number, since it is smaller than the sum of its proper divisors (1295926632).

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

541516248 is a wasteful number, since it uses less digits than its factorization.

541516248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11832 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 541516248 is about 23270.5016705700. The cubic root of 541516248 is about 815.0867450043.

The spelling of 541516248 in words is "five hundred forty-one million, five hundred sixteen thousand, two hundred forty-eight".