1480535672 has 96 divisors (see below), whose sum is σ = 3512732160. Its totient is φ = 572616000.

The previous prime is 1480535663. The next prime is 1480535701. The reversal of 1480535672 is 2765350841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022453 + ... + 1023899.

It is an arithmetic number, because the mean of its divisors is an integer number (36590960).

Almost surely, 2^1480535672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480535672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756366080).

1480535672 is an abundant number, since it is smaller than the sum of its proper divisors (2032196488).

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

1480535672 is a wasteful number, since it uses less digits than its factorization.

1480535672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 1480535672 is about 38477.7295587980. The cubic root of 1480535672 is about 1139.7413160870.

The spelling of 1480535672 in words is "one billion, four hundred eighty million, five hundred thirty-five thousand, six hundred seventy-two".