1721258880 has 384 divisors, whose sum is σ = 6251212800. Its totient is φ = 402124800.

The previous prime is 1721258839. The next prime is 1721258881. The reversal of 1721258880 is 888521271.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1721258881) 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, 7201801 + ... + 7202039.

It is an arithmetic number, because the mean of its divisors is an integer number (16279200).

Almost surely, 2^1721258880 is an apocalyptic number.

1721258880 is a gapful number since it is divisible by the number (10) 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 1721258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

1721258880 is an abundant number, since it is smaller than the sum of its proper divisors (4529953920).

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

1721258880 is a wasteful number, since it uses less digits than its factorization.

1721258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 1721258880 is about 41488.0570767058. The cubic root of 1721258880 is about 1198.4375219906.

The spelling of 1721258880 in words is "one billion, seven hundred twenty-one million, two hundred fifty-eight thousand, eight hundred eighty".