4457934720 has 192 divisors, whose sum is σ = 15450074640. Its totient is φ = 1184440320.

The previous prime is 4457934709. The next prime is 4457934721. The reversal of 4457934720 is 274397544.

4457934720 is a `hidden beast` number, since 4 + 4 + 579 + 3 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457934721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1767060 + ... + 1769580.

Almost surely, 2^4457934720 is an apocalyptic number.

4457934720 is a gapful number since it is divisible by the number (40) 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 4457934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725037320).

4457934720 is an abundant number, since it is smaller than the sum of its proper divisors (10992139920).

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

4457934720 is a wasteful number, since it uses less digits than its factorization.

4457934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4457934720 is about 66767.7670736412. The cubic root of 4457934720 is about 1645.8031966680.

The spelling of 4457934720 in words is "four billion, four hundred fifty-seven million, nine hundred thirty-four thousand, seven hundred twenty".