541575400 has 48 divisors (see below), whose sum is σ = 1263356640. Its totient is φ = 215908800.

The previous prime is 541575383. The next prime is 541575403. The reversal of 541575400 is 4575145.

541575400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (541575403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57847 + ... + 66553.

It is an arithmetic number, because the mean of its divisors is an integer number (26319930).

Almost surely, 2^541575400 is an apocalyptic number.

541575400 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 541575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631678320).

541575400 is an abundant number, since it is smaller than the sum of its proper divisors (721781240).

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

541575400 is a wasteful number, since it uses less digits than its factorization.

541575400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 31.

The square root of 541575400 is about 23271.7726011578. The cubic root of 541575400 is about 815.1164223260.

The spelling of 541575400 in words is "five hundred forty-one million, five hundred seventy-five thousand, four hundred".