1352609280 has 400 divisors, whose sum is σ = 5293951344. Its totient is φ = 327352320.

The previous prime is 1352609249. The next prime is 1352609281. The reversal of 1352609280 is 829062531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352609281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280664 + ... + 2281256.

Almost surely, 2^1352609280 is an apocalyptic number.

1352609280 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 1352609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646975672).

1352609280 is an abundant number, since it is smaller than the sum of its proper divisors (3941342064).

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

1352609280 is an equidigital number, since it uses as much as digits as its factorization.

1352609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1352609280 is about 36777.8368042494. The cubic root of 1352609280 is about 1105.9210409423.

The spelling of 1352609280 in words is "one billion, three hundred fifty-two million, six hundred nine thousand, two hundred eighty".