541591380 has 192 divisors, whose sum is σ = 1864800000. Its totient is φ = 129392640.

The previous prime is 541591363. The next prime is 541591381. The reversal of 541591380 is 83195145.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541591381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432996 + ... + 434244.

It is an arithmetic number, because the mean of its divisors is an integer number (9712500).

Almost surely, 2^541591380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541591380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932400000).

541591380 is an abundant number, since it is smaller than the sum of its proper divisors (1323208620).

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

541591380 is a wasteful number, since it uses less digits than its factorization.

541591380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 541591380 is about 23272.1159330216. The cubic root of 541591380 is about 815.1244393275.

The spelling of 541591380 in words is "five hundred forty-one million, five hundred ninety-one thousand, three hundred eighty".