541453200 has 120 divisors (see below), whose sum is σ = 1794379200. Its totient is φ = 139399680.

The previous prime is 541453193. The next prime is 541453217. The reversal of 541453200 is 2354145.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27021 + ... + 42579.

It is an arithmetic number, because the mean of its divisors is an integer number (14953160).

Almost surely, 2^541453200 is an apocalyptic number.

541453200 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 541453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897189600).

541453200 is an abundant number, since it is smaller than the sum of its proper divisors (1252926000).

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

541453200 is a wasteful number, since it uses less digits than its factorization.

541453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 541453200 is about 23269.1469547124. The cubic root of 541453200 is about 815.0551106296.

The spelling of 541453200 in words is "five hundred forty-one million, four hundred fifty-three thousand, two hundred".