1329022464 has 320 divisors, whose sum is σ = 4680986112. Its totient is φ = 324403200.

The previous prime is 1329022459. The next prime is 1329022523. The reversal of 1329022464 is 4642209231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010294 + ... + 2010954.

Almost surely, 2^1329022464 is an apocalyptic number.

1329022464 is a gapful number since it is divisible by the number (14) 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 1329022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340493056).

1329022464 is an abundant number, since it is smaller than the sum of its proper divisors (3351963648).

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

1329022464 is a wasteful number, since it uses less digits than its factorization.

1329022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1329022464 is about 36455.7603678760. The cubic root of 1329022464 is about 1099.4549542189.

The spelling of 1329022464 in words is "one billion, three hundred twenty-nine million, twenty-two thousand, four hundred sixty-four".