545819040 has 192 divisors, whose sum is σ = 2057529600. Its totient is φ = 134341632.

The previous prime is 545819011. The next prime is 545819047. The reversal of 545819040 is 40918545.

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 = 545818986 and 545819004.

It is not an unprimeable number, because it can be changed into a prime (545819047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51301 + ... + 61019.

It is an arithmetic number, because the mean of its divisors is an integer number (10716300).

Almost surely, 2^545819040 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 545819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028764800).

545819040 is an abundant number, since it is smaller than the sum of its proper divisors (1511710560).

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

545819040 is a wasteful number, since it uses less digits than its factorization.

545819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 545819040 is about 23362.7703836681. The cubic root of 545819040 is about 817.2398970518.

The spelling of 545819040 in words is "five hundred forty-five million, eight hundred nineteen thousand, forty".