1048984800 has 72 divisors (see below), whose sum is σ = 3414453336. Its totient is φ = 279728640.

The previous prime is 1048984787. The next prime is 1048984801. The reversal of 1048984800 is 84898401.

1048984800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1048984800² = 2200738221262080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048984801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216139 + ... + 220938.

It is an arithmetic number, because the mean of its divisors is an integer number (47422963).

Almost surely, 2^1048984800 is an apocalyptic number.

1048984800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1048984800 is an abundant number, since it is smaller than the sum of its proper divisors (2365468536).

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

1048984800 is a wasteful number, since it uses less digits than its factorization.

1048984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437100 (or 437087 counting only the distinct ones).

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

The square root of 1048984800 is about 32388.0348276952. The cubic root of 1048984800 is about 1016.0686811611.

The spelling of 1048984800 in words is "one billion, forty-eight million, nine hundred eighty-four thousand, eight hundred".