541014000 has 160 divisors (see below), whose sum is σ = 1792105536. Its totient is φ = 140313600.

The previous prime is 541013971. The next prime is 541014007. The reversal of 541014000 is 410145.

It is a super-2 number, since 2×541014000² = 585392296392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541014007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220782 + ... + 223218.

Almost surely, 2^541014000 is an apocalyptic number.

541014000 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 541014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896052768).

541014000 is an abundant number, since it is smaller than the sum of its proper divisors (1251091536).

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

541014000 is a wasteful number, since it uses less digits than its factorization.

541014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 541014000 is about 23259.7076507853. The cubic root of 541014000 is about 814.8346735799.

Adding to 541014000 its reverse (410145), we get a palindrome (541424145).

The spelling of 541014000 in words is "five hundred forty-one million, fourteen thousand".