1352285280 has 144 divisors (see below), whose sum is σ = 4785724944. Its totient is φ = 360599040.

The previous prime is 1352285279. The next prime is 1352285303. The reversal of 1352285280 is 825822531.

1352285280 is a `hidden beast` number, since 1 + 3 + 522 + 8 + 52 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21490 + ... + 56270.

It is an arithmetic number, because the mean of its divisors is an integer number (33234201).

Almost surely, 2^1352285280 is an apocalyptic number.

1352285280 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 1352285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392862472).

1352285280 is an abundant number, since it is smaller than the sum of its proper divisors (3433439664).

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

1352285280 is an equidigital number, since it uses as much as digits as its factorization.

1352285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34811 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1352285280 is about 36773.4317136707. The cubic root of 1352285280 is about 1105.8327308795.

The spelling of 1352285280 in words is "one billion, three hundred fifty-two million, two hundred eighty-five thousand, two hundred eighty".