545564040 has 384 divisors, whose sum is σ = 2040837120. Its totient is φ = 116121600.

The previous prime is 545564039. The next prime is 545564059. The reversal of 545564040 is 40465545.

It is a super-2 number, since 2×545564040² = 595280243482243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 545563992 and 545564010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7473444 + ... + 7473516.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2^545564040 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 545564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020418560).

545564040 is an abundant number, since it is smaller than the sum of its proper divisors (1495273080).

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

545564040 is a wasteful number, since it uses less digits than its factorization.

545564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 545564040 is about 23357.3123453877. The cubic root of 545564040 is about 817.1126090557.

The spelling of 545564040 in words is "five hundred forty-five million, five hundred sixty-four thousand, forty".