541793340 has 192 divisors, whose sum is σ = 1852139520. Its totient is φ = 130394880.

The previous prime is 541793333. The next prime is 541793347. The reversal of 541793340 is 43397145.

541793340 is a `hidden beast` number, since 541 + 79 + 3 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (541793333) and next prime (541793347).

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

It is a junction number, because it is equal to n+sod(n) for n = 541793295 and 541793304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541793347) 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, 1169949 + ... + 1170411.

It is an arithmetic number, because the mean of its divisors is an integer number (9646560).

Almost surely, 2^541793340 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 541793340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926069760).

541793340 is an abundant number, since it is smaller than the sum of its proper divisors (1310346180).

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

541793340 is a wasteful number, since it uses less digits than its factorization.

541793340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 541793340 is about 23276.4546269401. The cubic root of 541793340 is about 815.2257469919.

It can be divided in two parts, 541 and 793340, that added together give a square (793881 = 891²).

The spelling of 541793340 in words is "five hundred forty-one million, seven hundred ninety-three thousand, three hundred forty".