541429000 has 64 divisors (see below), whose sum is σ = 1447954560. Its totient is φ = 185630400.

The previous prime is 541428977. The next prime is 541429027. The reversal of 541429000 is 924145.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31674 + ... + 45673.

It is an arithmetic number, because the mean of its divisors is an integer number (22624290).

Almost surely, 2^541429000 is an apocalyptic number.

541429000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541429000 is an abundant number, since it is smaller than the sum of its proper divisors (906525560).

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

541429000 is a wasteful number, since it uses less digits than its factorization.

541429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77375 (or 77361 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 541429000 is about 23268.6269470289. The cubic root of 541429000 is about 815.0429676118.

The spelling of 541429000 in words is "five hundred forty-one million, four hundred twenty-nine thousand".