1048788224 has 72 divisors (see below), whose sum is σ = 2383238592. Its totient is φ = 455966720.

The previous prime is 1048788211. The next prime is 1048788269. The reversal of 1048788224 is 4228878401.

1048788224 = 2³ + 3³ + ... + 254³.

It is a Cunningham number, because it is equal to 32385²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56672 + ... + 72864.

It is an arithmetic number, because the mean of its divisors is an integer number (33100536).

Almost surely, 2^1048788224 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 1048788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191619296).

1048788224 is an abundant number, since it is smaller than the sum of its proper divisors (1334450368).

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

1048788224 is a wasteful number, since it uses less digits than its factorization.

1048788224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16243 (or 16229 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 44.

The square root of 1048788224 is about 32384.9999845608. Note that the first 4 decimals coincide. The cubic root of 1048788224 is about 1016.0052079837.

The spelling of 1048788224 in words is "one billion, forty-eight million, seven hundred eighty-eight thousand, two hundred twenty-four".