541200000 has 384 divisors, whose sum is σ = 2007996480. Its totient is φ = 128000000.

The previous prime is 541199993. The next prime is 541200017. The reversal of 541200000 is 2145.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199980 + ... + 13200020.

Almost surely, 2^541200000 is an apocalyptic number.

541200000 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 541200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003998240).

541200000 is an abundant number, since it is smaller than the sum of its proper divisors (1466796480).

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

541200000 is an equidigital number, since it uses as much as digits as its factorization.

541200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 541200000 is about 23263.7056377526. The cubic root of 541200000 is about 814.9280426264.

Adding to 541200000 its reverse (2145), we get a palindrome (541202145).

The spelling of 541200000 in words is "five hundred forty-one million, two hundred thousand".