1004950800 has 540 divisors, whose sum is σ = 4227031536. Its totient is φ = 228614400.

The previous prime is 1004950789. The next prime is 1004950811. The reversal of 1004950800 is 80594001.

1004950800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1004950789) and next prime (1004950811).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1004950800² = 2019852220841280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762695 + ... + 4762905.

Almost surely, 2^1004950800 is an apocalyptic number.

1004950800 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 1004950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113515768).

1004950800 is an abundant number, since it is smaller than the sum of its proper divisors (3222080736).

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

1004950800 is a wasteful number, since it uses less digits than its factorization.

1004950800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1004950800 is about 31700.9589760310. The cubic root of 1004950800 is about 1001.6475507525.

The spelling of 1004950800 in words is "one billion, four million, nine hundred fifty thousand, eight hundred".