541253760 has 256 divisors, whose sum is σ = 1869782400. Its totient is φ = 132710400.

The previous prime is 541253759. The next prime is 541253761. The reversal of 541253760 is 67352145.

It is an interprime number because it is at equal distance from previous prime (541253759) and next prime (541253761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541253761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349560 + ... + 1349960.

Almost surely, 2^541253760 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 541253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934891200).

541253760 is an abundant number, since it is smaller than the sum of its proper divisors (1328528640).

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

541253760 is a wasteful number, since it uses less digits than its factorization.

541253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 541253760 is about 23264.8610569674. The cubic root of 541253760 is about 814.9550253075.

The spelling of 541253760 in words is "five hundred forty-one million, two hundred fifty-three thousand, seven hundred sixty".