544372416 has 336 divisors, whose sum is σ = 1897197120. Its totient is φ = 145981440.

The previous prime is 544372333. The next prime is 544372421. The reversal of 544372416 is 614273445.

544372416 is a `hidden beast` number, since 544 + 3 + 72 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (80640) is a multiple of the sum of its prime factors (192).

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, 6116500 + ... + 6116588.

It is an arithmetic number, because the mean of its divisors is an integer number (5646420).

Almost surely, 2^544372416 is an apocalyptic number.

544372416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

544372416 is an abundant number, since it is smaller than the sum of its proper divisors (1352824704).

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

544372416 is a wasteful number, since it uses less digits than its factorization.

544372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 544372416 is about 23331.7898156142. The cubic root of 544372416 is about 816.5172614280.

The spelling of 544372416 in words is "five hundred forty-four million, three hundred seventy-two thousand, four hundred sixteen".