1352258880 has 672 divisors, whose sum is σ = 5629046400. Its totient is φ = 272498688.

The previous prime is 1352258867. The next prime is 1352258927. The reversal of 1352258880 is 888522531.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15193876 + ... + 15193964.

Almost surely, 2^1352258880 is an apocalyptic number.

1352258880 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 1352258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814523200).

1352258880 is an abundant number, since it is smaller than the sum of its proper divisors (4276787520).

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

1352258880 is a wasteful number, since it uses less digits than its factorization.

1352258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 1352258880 is about 36773.0727571140. The cubic root of 1352258880 is about 1105.8255346233.

The spelling of 1352258880 in words is "one billion, three hundred fifty-two million, two hundred fifty-eight thousand, eight hundred eighty".