541277640 has 192 divisors, whose sum is σ = 1839801600. Its totient is φ = 143119872.

The previous prime is 541277629. The next prime is 541277647. The reversal of 541277640 is 46772145.

541277640 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 7 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 541277595 and 541277604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541277647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2264641 + ... + 2264879.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^541277640 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 541277640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

541277640 is an abundant number, since it is smaller than the sum of its proper divisors (1298523960).

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

541277640 is a wasteful number, since it uses less digits than its factorization.

541277640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 541277640 is about 23265.3742716510. The cubic root of 541277640 is about 814.9670103449.

The spelling of 541277640 in words is "five hundred forty-one million, two hundred seventy-seven thousand, six hundred forty".