541973376 has 256 divisors, whose sum is σ = 1874188800. Its totient is φ = 150958080.

The previous prime is 541973353. The next prime is 541973429. The reversal of 541973376 is 673379145.

541973376 is a `hidden beast` number, since 541 + 9 + 7 + 33 + 76 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039996 + ... + 1040516.

It is an arithmetic number, because the mean of its divisors is an integer number (7321050).

Almost surely, 2^541973376 is an apocalyptic number.

541973376 is a gapful number since it is divisible by the number (56) 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 541973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937094400).

541973376 is an abundant number, since it is smaller than the sum of its proper divisors (1332215424).

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

541973376 is a wasteful number, since it uses less digits than its factorization.

541973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 576 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 541973376 is about 23280.3216472625. The cubic root of 541973376 is about 815.3160358639.

The spelling of 541973376 in words is "five hundred forty-one million, nine hundred seventy-three thousand, three hundred seventy-six".