1048980480 has 176 divisors, whose sum is σ = 3464899584. Its totient is φ = 270581760.

The previous prime is 1048980473. The next prime is 1048980487. The reversal of 1048980480 is 840898401.

It is an interprime number because it is at equal distance from previous prime (1048980473) and next prime (1048980487).

It is a super-2 number, since 2×1048980480² = 2200720094842060800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1048980487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475059 + ... + 477261.

Almost surely, 2^1048980480 is an apocalyptic number.

1048980480 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 1048980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732449792).

1048980480 is an abundant number, since it is smaller than the sum of its proper divisors (2415919104).

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

1048980480 is a wasteful number, since it uses less digits than its factorization.

1048980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1048980480 is about 32387.9681363311. The cubic root of 1048980480 is about 1016.0672863450.

The spelling of 1048980480 in words is "one billion, forty-eight million, nine hundred eighty thousand, four hundred eighty".