1032852480 has 176 divisors, whose sum is σ = 3604423104. Its totient is φ = 250347520.

The previous prime is 1032852479. The next prime is 1032852481. The reversal of 1032852480 is 842582301.

It is an interprime number because it is at equal distance from previous prime (1032852479) and next prime (1032852481).

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032852481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165904 + ... + 172016.

Almost surely, 2^1032852480 is an apocalyptic number.

1032852480 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 1032852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802211552).

1032852480 is an abundant number, since it is smaller than the sum of its proper divisors (2571570624).

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

1032852480 is a wasteful number, since it uses less digits than its factorization.

1032852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1032852480 is about 32138.0223411460. The cubic root of 1032852480 is about 1010.8330479679.

The spelling of 1032852480 in words is "one billion, thirty-two million, eight hundred fifty-two thousand, four hundred eighty".