1352532480 has 640 divisors, whose sum is σ = 5279662080. Its totient is φ = 291962880.

The previous prime is 1352532473. The next prime is 1352532481. The reversal of 1352532480 is 842352531.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1352532481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43630065 + ... + 43630095.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^1352532480 is an apocalyptic number.

1352532480 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 1352532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639831040).

1352532480 is an abundant number, since it is smaller than the sum of its proper divisors (3927129600).

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

1352532480 is a wasteful number, since it uses less digits than its factorization.

1352532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1352532480 is about 36776.7926823425. The cubic root of 1352532480 is about 1105.9001094620.

The spelling of 1352532480 in words is "one billion, three hundred fifty-two million, five hundred thirty-two thousand, four hundred eighty".