1004774400 has 594 divisors, whose sum is σ = 4231947330. Its totient is φ = 227082240.

The previous prime is 1004774399. The next prime is 1004774431. The reversal of 1004774400 is 44774001.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 997549056 = 2688^2 + 31584^2 .

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 53 ways as a sum of consecutive naturals, for example, 11289556 + ... + 11289644.

Almost surely, 2^1004774400 is an apocalyptic number.

1004774400 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 1004774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115973665).

1004774400 is an abundant number, since it is smaller than the sum of its proper divisors (3227172930).

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

1004774400 is a wasteful number, since it uses less digits than its factorization.

1004774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1004774400 is about 31698.1766037102. The cubic root of 1004774400 is about 1001.5889405972.

1004774400 divided by its product of nonzero digits (3136) gives a triangular number (320400 = T₈₀₀).

The spelling of 1004774400 in words is "one billion, four million, seven hundred seventy-four thousand, four hundred".