541166400 has 168 divisors, whose sum is σ = 1972909440. Its totient is φ = 144299520.

The previous prime is 541166393. The next prime is 541166407. The reversal of 541166400 is 4661145.

541166400 is a `hidden beast` number, since 5 + 4 + 1 + 16 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (541166393) and next prime (541166407).

It is a super-2 number, since 2×541166400² = 585722144977920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541166407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36937 + ... + 49463.

Almost surely, 2^541166400 is an apocalyptic number.

541166400 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 541166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986454720).

541166400 is an abundant number, since it is smaller than the sum of its proper divisors (1431743040).

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

541166400 is a wasteful number, since it uses less digits than its factorization.

541166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558 (or 12537 counting only the distinct ones).

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

The square root of 541166400 is about 23262.9834716014. The cubic root of 541166400 is about 814.9111775433.

It can be divided in two parts, 54116 and 6400, that added together give a square (60516 = 246²).

The spelling of 541166400 in words is "five hundred forty-one million, one hundred sixty-six thousand, four hundred".