541461600 has 216 divisors, whose sum is σ = 1925501760. Its totient is φ = 143170560.

The previous prime is 541461553. The next prime is 541461619. The reversal of 541461600 is 6164145.

541461600 is a `hidden beast` number, since 5 + 41 + 4 + 616 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1130161 + ... + 1130639.

It is an arithmetic number, because the mean of its divisors is an integer number (8914360).

Almost surely, 2^541461600 is an apocalyptic number.

541461600 is a gapful number since it is divisible by the number (50) 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 541461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962750880).

541461600 is an abundant number, since it is smaller than the sum of its proper divisors (1384040160).

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

541461600 is a wasteful number, since it uses less digits than its factorization.

541461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 541461600 is about 23269.3274505302. The cubic root of 541461600 is about 815.0593254769.

The spelling of 541461600 in words is "five hundred forty-one million, four hundred sixty-one thousand, six hundred".