1024490000 has 100 divisors (see below), whose sum is σ = 2528499996. Its totient is φ = 401856000.

The previous prime is 1024489993. The next prime is 1024490021. The reversal of 1024490000 is 944201.

It can be written as a sum of positive squares in 10 ways, for example, as 590684416 + 433805584 = 24304^2 + 20828^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 529034 + ... + 530966.

Almost surely, 2^1024490000 is an apocalyptic number.

1024490000 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 1024490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264249998).

1024490000 is an abundant number, since it is smaller than the sum of its proper divisors (1504009996).

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

1024490000 is an equidigital number, since it uses as much as digits as its factorization.

1024490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1024490000 is about 32007.6553343103. The cubic root of 1024490000 is about 1008.0975854545.

It can be divided in two parts, 1024 and 490000, that multiplied together give a square (501760000 = 22400²).

The spelling of 1024490000 in words is "one billion, twenty-four million, four hundred ninety thousand".