541920000 has 180 divisors, whose sum is σ = 1803891320. Its totient is φ = 144384000.

The previous prime is 541919993. The next prime is 541920007. The reversal of 541920000 is 29145.

It is an interprime number because it is at equal distance from previous prime (541919993) and next prime (541920007).

It is not an unprimeable number, because it can be changed into a prime (541920007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479436 + ... + 480564.

Almost surely, 2^541920000 is an apocalyptic number.

541920000 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 541920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901945660).

541920000 is an abundant number, since it is smaller than the sum of its proper divisors (1261971320).

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

541920000 is an equidigital number, since it uses as much as digits as its factorization.

541920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 541920000 is about 23279.1752431223. The cubic root of 541920000 is about 815.2892696429.

Adding to 541920000 its reverse (29145), we get a palindrome (541949145).

The spelling of 541920000 in words is "five hundred forty-one million, nine hundred twenty thousand".