544965120 has 480 divisors, whose sum is σ = 2246999040. Its totient is φ = 119439360.

The previous prime is 544965053. The next prime is 544965143. The reversal of 544965120 is 21569445.

544965120 is a `hidden beast` number, since 54 + 4 + 96 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×544965120² = 593973964033228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999626 + ... + 4999734.

It is an arithmetic number, because the mean of its divisors is an integer number (4681248).

Almost surely, 2^544965120 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 544965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123499520).

544965120 is an abundant number, since it is smaller than the sum of its proper divisors (1702033920).

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

544965120 is a wasteful number, since it uses less digits than its factorization.

544965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 544965120 is about 23344.4880003824. The cubic root of 544965120 is about 816.8134909324.

The spelling of 544965120 in words is "five hundred forty-four million, nine hundred sixty-five thousand, one hundred twenty".