1480820352 has 128 divisors (see below), whose sum is σ = 4382899200. Its totient is φ = 439127040.

The previous prime is 1480820351. The next prime is 1480820437. The reversal of 1480820352 is 2530280841.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (1480820351) 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, 194799 + ... + 202257.

It is an arithmetic number, because the mean of its divisors is an integer number (34241400).

Almost surely, 2^1480820352 is an apocalyptic number.

1480820352 is a gapful number since it is divisible by the number (12) 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 1480820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191449600).

1480820352 is an abundant number, since it is smaller than the sum of its proper divisors (2902078848).

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

1480820352 is a wasteful number, since it uses less digits than its factorization.

1480820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7522 counting only the distinct ones).

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

The square root of 1480820352 is about 38481.4286637074. The cubic root of 1480820352 is about 1139.8143618929.

The spelling of 1480820352 in words is "one billion, four hundred eighty million, eight hundred twenty thousand, three hundred fifty-two".