1480797648 has 240 divisors, whose sum is σ = 4835690496. Its totient is φ = 418037760.

The previous prime is 1480797641. The next prime is 1480797653. The reversal of 1480797648 is 8467970841.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1480797594 and 1480797603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480797641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3419640 + ... + 3420072.

Almost surely, 2^1480797648 is an apocalyptic number.

1480797648 is a gapful number since it is divisible by the number (18) 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 1480797648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417845248).

1480797648 is an abundant number, since it is smaller than the sum of its proper divisors (3354892848).

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

1480797648 is a wasteful number, since it uses less digits than its factorization.

1480797648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1480797648 is about 38481.1336631342. The cubic root of 1480797648 is about 1139.8085366359.

The spelling of 1480797648 in words is "one billion, four hundred eighty million, seven hundred ninety-seven thousand, six hundred forty-eight".