4457980800 has 1152 divisors, whose sum is σ = 20690863200. Its totient is φ = 940584960.

The previous prime is 4457980783. The next prime is 4457980817. The reversal of 4457980800 is 80897544.

It is an interprime number because it is at equal distance from previous prime (4457980783) and next prime (4457980817).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342921594 + ... + 342921606.

Almost surely, 2^4457980800 is an apocalyptic number.

4457980800 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 4457980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345431600).

4457980800 is an abundant number, since it is smaller than the sum of its proper divisors (16232882400).

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

4457980800 is an equidigital number, since it uses as much as digits as its factorization.

4457980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4457980800 is about 66768.1121494385. The cubic root of 4457980800 is about 1645.8088673320.

The spelling of 4457980800 in words is "four billion, four hundred fifty-seven million, nine hundred eighty thousand, eight hundred".