541678752 has 240 divisors, whose sum is σ = 1778293440. Its totient is φ = 160745472.

The previous prime is 541678741. The next prime is 541678759. The reversal of 541678752 is 257876145.

It is a junction number, because it is equal to n+sod(n) for n = 541678698 and 541678707.

It is not an unprimeable number, because it can be changed into a prime (541678759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 836893 + ... + 837539.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556).

Almost surely, 2^541678752 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 541678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889146720).

541678752 is an abundant number, since it is smaller than the sum of its proper divisors (1236614688).

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

541678752 is a wasteful number, since it uses less digits than its factorization.

541678752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 541678752 is about 23273.9930394421. The cubic root of 541678752 is about 815.1682701722.

The spelling of 541678752 in words is "five hundred forty-one million, six hundred seventy-eight thousand, seven hundred fifty-two".