541978500 has 192 divisors, whose sum is σ = 1831624704. Its totient is φ = 121968000.

The previous prime is 541978483. The next prime is 541978511. The reversal of 541978500 is 5879145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745137 + ... + 745863.

It is an arithmetic number, because the mean of its divisors is an integer number (9539712).

Almost surely, 2^541978500 is an apocalyptic number.

541978500 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 541978500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915812352).

541978500 is an abundant number, since it is smaller than the sum of its proper divisors (1289646204).

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

541978500 is a wasteful number, since it uses less digits than its factorization.

541978500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 541978500 is about 23280.4316970283. The cubic root of 541978500 is about 815.3186052805.

The spelling of 541978500 in words is "five hundred forty-one million, nine hundred seventy-eight thousand, five hundred".