1000479600 has 420 divisors, whose sum is σ = 3730924896. Its totient is φ = 257541120.

The previous prime is 1000479559. The next prime is 1000479629. The reversal of 1000479600 is 69740001.

1000479600 is a `hidden beast` number, since 10 + 0 + 0 + 47 + 9 + 600 = 666.

1000479600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13705164 + ... + 13705236.

Almost surely, 2^1000479600 is an apocalyptic number.

1000479600 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 1000479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865462448).

1000479600 is an abundant number, since it is smaller than the sum of its proper divisors (2730445296).

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

1000479600 is an equidigital number, since it uses as much as digits as its factorization.

1000479600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1000479600 is about 31630.3588345121. The cubic root of 1000479600 is about 1000.1598411161.

The spelling of 1000479600 in words is "one billion, four hundred seventy-nine thousand, six hundred".