541052400 has 240 divisors, whose sum is σ = 2030370048. Its totient is φ = 120576000.

The previous prime is 541052389. The next prime is 541052459. The reversal of 541052400 is 4250145.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343615 + ... + 345185.

Almost surely, 2^541052400 is an apocalyptic number.

541052400 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 541052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015185024).

541052400 is an abundant number, since it is smaller than the sum of its proper divisors (1489317648).

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

541052400 is a wasteful number, since it uses less digits than its factorization.

541052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 541052400 is about 23260.5330979322. The cubic root of 541052400 is about 814.8539515229.

The spelling of 541052400 in words is "five hundred forty-one million, fifty-two thousand, four hundred".