545235840 has 256 divisors, whose sum is σ = 1953504000. Its totient is φ = 143714304.

The previous prime is 545235839. The next prime is 545235841. The reversal of 545235840 is 48532545.

545235840 is a `hidden beast` number, since 54 + 5 + 23 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (545235839) and next prime (545235841).

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 = 545235795 and 545235804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545235841) 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 31 ways as a sum of consecutive naturals, for example, 2401807 + ... + 2402033.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^545235840 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 545235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

545235840 is an abundant number, since it is smaller than the sum of its proper divisors (1408268160).

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

545235840 is a wasteful number, since it uses less digits than its factorization.

545235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 545235840 is about 23350.2856513577. The cubic root of 545235840 is about 816.9487235274.

The spelling of 545235840 in words is "five hundred forty-five million, two hundred thirty-five thousand, eight hundred forty".