4205498880 has 320 divisors, whose sum is σ = 14905617408. Its totient is φ = 1002946560.

The previous prime is 4205498873. The next prime is 4205498897. The reversal of 4205498880 is 888945024.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5659789 + ... + 5660531.

Almost surely, 2^4205498880 is an apocalyptic number.

4205498880 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 4205498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452808704).

4205498880 is an abundant number, since it is smaller than the sum of its proper divisors (10700118528).

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

4205498880 is a wasteful number, since it uses less digits than its factorization.

4205498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 4205498880 is about 64849.8178871768. The cubic root of 4205498880 is about 1614.1324699448.

The spelling of 4205498880 in words is "four billion, two hundred five million, four hundred ninety-eight thousand, eight hundred eighty".