1048824000 has 336 divisors, whose sum is σ = 4289852736. Its totient is φ = 239616000.

The previous prime is 1048823983. The next prime is 1048824017. The reversal of 1048824000 is 4288401.

It is an interprime number because it is at equal distance from previous prime (1048823983) and next prime (1048824017).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1048824000² = 2200063565952000000, 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502960 + ... + 505040.

Almost surely, 2^1048824000 is an apocalyptic number.

1048824000 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 1048824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144926368).

1048824000 is an abundant number, since it is smaller than the sum of its proper divisors (3241028736).

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

1048824000 is a wasteful number, since it uses less digits than its factorization.

1048824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1048824000 is about 32385.5523343358. The cubic root of 1048824000 is about 1016.0167604237.

The spelling of 1048824000 in words is "one billion, forty-eight million, eight hundred twenty-four thousand".