541551400 has 96 divisors (see below), whose sum is σ = 1399910400. Its totient is φ = 193478400.

The previous prime is 541551397. The next prime is 541551401. The reversal of 541551400 is 4155145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (541551401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77241 + ... + 83959.

It is an arithmetic number, because the mean of its divisors is an integer number (14582400).

Almost surely, 2^541551400 is an apocalyptic number.

541551400 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 541551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699955200).

541551400 is an abundant number, since it is smaller than the sum of its proper divisors (858359000).

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

541551400 is a wasteful number, since it uses less digits than its factorization.

541551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 541551400 is about 23271.2569492926. The cubic root of 541551400 is about 815.1043814769.

It can be divided in two parts, 54155 and 1400, that added together give a palindrome (55555).

The spelling of 541551400 in words is "five hundred forty-one million, five hundred fifty-one thousand, four hundred".