541461024 has 120 divisors (see below), whose sum is σ = 1715022540. Its totient is φ = 166593024.

The previous prime is 541461007. The next prime is 541461029. The reversal of 541461024 is 420164145.

541461024 is a `hidden beast` number, since 5 + 41 + 4 + 610 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 486996624 + 54464400 = 22068^2 + 7380^2 .

It is a super-2 number, since 2×541461024² = 586360081022257152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (541461029) 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 19 ways as a sum of consecutive naturals, for example, 25662 + ... + 41730.

Almost surely, 2^541461024 is an apocalyptic number.

541461024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541461024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857511270).

541461024 is an abundant number, since it is smaller than the sum of its proper divisors (1173561516).

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

541461024 is a wasteful number, since it uses less digits than its factorization.

541461024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16087 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541461024 is about 23269.3150737189. The cubic root of 541461024 is about 815.0590364601.

The spelling of 541461024 in words is "five hundred forty-one million, four hundred sixty-one thousand, twenty-four".