541677312 has 324 divisors, whose sum is σ = 1802378760. Its totient is φ = 156119040.

The previous prime is 541677293. The next prime is 541677319. The reversal of 541677312 is 213776145.

It is a happy number.

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

Its product of digits (35280) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541677319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8084703 + ... + 8084769.

Almost surely, 2^541677312 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 541677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901189380).

541677312 is an abundant number, since it is smaller than the sum of its proper divisors (1260701448).

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

541677312 is a wasteful number, since it uses less digits than its factorization.

541677312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 541677312 is about 23273.9621036041. The cubic root of 541677312 is about 815.1675478232.

It can be divided in two parts, 5416 and 77312, that added together give a palindrome (82728).

The spelling of 541677312 in words is "five hundred forty-one million, six hundred seventy-seven thousand, three hundred twelve".