1024485120 has 216 divisors, whose sum is σ = 3580523856. Its totient is φ = 270434304.

The previous prime is 1024485101. The next prime is 1024485167. The reversal of 1024485120 is 215844201.

1024485120 is a `hidden beast` number, since 102 + 4 + 48 + 512 + 0 = 666.

It is a super-2 number, since 2×1024485120² = 2099139522202828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1301367 + ... + 1302153.

Almost surely, 2^1024485120 is an apocalyptic number.

1024485120 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 1024485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790261928).

1024485120 is an abundant number, since it is smaller than the sum of its proper divisors (2556038736).

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

1024485120 is a wasteful number, since it uses less digits than its factorization.

1024485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1024485120 is about 32007.5791024563. The cubic root of 1024485120 is about 1008.0959848129.

The spelling of 1024485120 in words is "one billion, twenty-four million, four hundred eighty-five thousand, one hundred twenty".