544920480 has 384 divisors, whose sum is σ = 2126960640. Its totient is φ = 129392640.

The previous prime is 544920479. The next prime is 544920487. The reversal of 544920480 is 84029445.

544920480 is a `hidden beast` number, since 5 + 449 + 204 + 8 + 0 = 666.

It is a super-3 number, since 3×544920480³ (a number of 27 digits) contains 333 as substring.

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 (544920487) 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 63 ways as a sum of consecutive naturals, for example, 1740804 + ... + 1741116.

It is an arithmetic number, because the mean of its divisors is an integer number (5538960).

Almost surely, 2^544920480 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 544920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063480320).

544920480 is an abundant number, since it is smaller than the sum of its proper divisors (1582040160).

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

544920480 is a wasteful number, since it uses less digits than its factorization.

544920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 544920480 is about 23343.5318664507. The cubic root of 544920480 is about 816.7911876396.

The spelling of 544920480 in words is "five hundred forty-four million, nine hundred twenty thousand, four hundred eighty".