541363200 has 528 divisors, whose sum is σ = 2193073920. Its totient is φ = 115015680.

The previous prime is 541363189. The next prime is 541363201. The reversal of 541363200 is 2363145.

It is a happy number.

It is a super-2 number, since 2×541363200² = 586148228628480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (541363201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10214374 + ... + 10214426.

Almost surely, 2^541363200 is an apocalyptic number.

541363200 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 541363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096536960).

541363200 is an abundant number, since it is smaller than the sum of its proper divisors (1651710720).

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

541363200 is a wasteful number, since it uses less digits than its factorization.

541363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 541363200 is about 23267.2129830799. The cubic root of 541363200 is about 815.0099488165.

The spelling of 541363200 in words is "five hundred forty-one million, three hundred sixty-three thousand, two hundred".