4457742480 has 240 divisors, whose sum is σ = 15320448000. Its totient is φ = 1161298944.

The previous prime is 4457742479. The next prime is 4457742481. The reversal of 4457742480 is 842477544.

It is an interprime number because it is at equal distance from previous prime (4457742479) and next prime (4457742481).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (4457742481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6199561 + ... + 6200279.

It is an arithmetic number, because the mean of its divisors is an integer number (63835200).

Almost surely, 2^4457742480 is an apocalyptic number.

4457742480 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 4457742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224000).

4457742480 is an abundant number, since it is smaller than the sum of its proper divisors (10862705520).

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

4457742480 is a wasteful number, since it uses less digits than its factorization.

4457742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 4457742480 is about 66766.3274413083. The cubic root of 4457742480 is about 1645.7795389450.

The spelling of 4457742480 in words is "four billion, four hundred fifty-seven million, seven hundred forty-two thousand, four hundred eighty".