1024972800 has 144 divisors (see below), whose sum is σ = 3388923720. Its totient is φ = 273285120.

The previous prime is 1024972799. The next prime is 1024972831. The reversal of 1024972800 is 82794201.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 150264 + ... + 156936.

Almost surely, 2^1024972800 is an apocalyptic number.

1024972800 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 1024972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694461860).

1024972800 is an abundant number, since it is smaller than the sum of its proper divisors (2363950920).

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

1024972800 is an equidigital number, since it uses as much as digits as its factorization.

1024972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1024972800 is about 32015.1963917137. The cubic root of 1024972800 is about 1008.2559188948.

The spelling of 1024972800 in words is "one billion, twenty-four million, nine hundred seventy-two thousand, eight hundred".