541864800 has 432 divisors, whose sum is σ = 2138769360. Its totient is φ = 128286720.

The previous prime is 541864793. The next prime is 541864811. The reversal of 541864800 is 8468145.

541864800 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 648 + 0 + 0 = 666.

It is a super-2 number, since 2×541864800² = 587234922958080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2325484 + ... + 2325716.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2^541864800 is an apocalyptic number.

541864800 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 541864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069384680).

541864800 is an abundant number, since it is smaller than the sum of its proper divisors (1596904560).

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

541864800 is a wasteful number, since it uses less digits than its factorization.

541864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 541864800 is about 23277.9896039155. The cubic root of 541864800 is about 815.2615869002.

The spelling of 541864800 in words is "five hundred forty-one million, eight hundred sixty-four thousand, eight hundred".