1352252880 has 400 divisors, whose sum is σ = 5224272768. Its totient is φ = 321408000.

The previous prime is 1352252833. The next prime is 1352252897. The reversal of 1352252880 is 882522531.

1352252880 is a `hidden beast` number, since 1 + 3 + 52 + 2 + 528 + 80 = 666.

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 79 ways as a sum of consecutive naturals, for example, 4347925 + ... + 4348235.

Almost surely, 2^1352252880 is an apocalyptic number.

1352252880 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 1352252880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612136384).

1352252880 is an abundant number, since it is smaller than the sum of its proper divisors (3872019888).

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

1352252880 is a wasteful number, since it uses less digits than its factorization.

1352252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

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

The square root of 1352252880 is about 36772.9911755897. The cubic root of 1352252880 is about 1105.8238990975.

The spelling of 1352252880 in words is "one billion, three hundred fifty-two million, two hundred fifty-two thousand, eight hundred eighty".