541958400 has 243 divisors, whose sum is σ = 1957805031. Its totient is φ = 143032320.

The previous prime is 541958393. The next prime is 541958423. The reversal of 541958400 is 4859145.

The square root of 541958400 is 23280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 522031104 = 4464^2 + 22848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5587152 + ... + 5587248.

Almost surely, 2^541958400 is an apocalyptic number.

541958400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541958400 is the 23280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541958400

541958400 is an abundant number, since it is smaller than the sum of its proper divisors (1415846631).

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

541958400 is an equidigital number, since it uses as much as digits as its factorization.

541958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 541958400 is about 815.3085260944.

Multiplying 541958400 by its sum of digits (36), we get a square (19510502400 = 139680²).

541958400 divided by its sum of digits (36) gives a square (15054400 = 3880²).

The spelling of 541958400 in words is "five hundred forty-one million, nine hundred fifty-eight thousand, four hundred".