1004256900 has 144 divisors (see below), whose sum is σ = 3239723200. Its totient is φ = 266872320.

The previous prime is 1004256899. The next prime is 1004256917. The reversal of 1004256900 is 96524001.

It is a super-2 number, since 2×1004256900² = 2017063842395220000, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168671 + ... + 1169529.

Almost surely, 2^1004256900 is an apocalyptic number.

1004256900 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 1004256900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619861600).

1004256900 is an abundant number, since it is smaller than the sum of its proper divisors (2235466300).

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

1004256900 is a wasteful number, since it uses less digits than its factorization.

1004256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1004256900 is about 31690.0126222758. The cubic root of 1004256900 is about 1001.4169579485.

The spelling of 1004256900 in words is "one billion, four million, two hundred fifty-six thousand, nine hundred".