545180832 has 288 divisors, whose sum is σ = 1914232320. Its totient is φ = 143700480.

The previous prime is 545180821. The next prime is 545180833. The reversal of 545180832 is 238081545.

It is a happy number.

545180832 is a `hidden beast` number, since 545 + 1 + 80 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (545180833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646907 + ... + 1647237.

It is an arithmetic number, because the mean of its divisors is an integer number (6646640).

Almost surely, 2^545180832 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 545180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957116160).

545180832 is an abundant number, since it is smaller than the sum of its proper divisors (1369051488).

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

545180832 is a wasteful number, since it uses less digits than its factorization.

545180832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 545180832 is about 23349.1077345581. The cubic root of 545180832 is about 816.9212490394.

The spelling of 545180832 in words is "five hundred forty-five million, one hundred eighty thousand, eight hundred thirty-two".