541461088 has 192 divisors, whose sum is σ = 1371686400. Its totient is φ = 205148160.

The previous prime is 541461073. The next prime is 541461131. The reversal of 541461088 is 880164145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5060331 + ... + 5060437.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^541461088 is an apocalyptic number.

541461088 is a gapful number since it is divisible by the number (58) 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 541461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685843200).

541461088 is an abundant number, since it is smaller than the sum of its proper divisors (830225312).

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

541461088 is a wasteful number, since it uses less digits than its factorization.

541461088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 541461088 is about 23269.3164489205. The cubic root of 541461088 is about 815.0590685731.

The spelling of 541461088 in words is "five hundred forty-one million, four hundred sixty-one thousand, eighty-eight".