1004474880 has 120 divisors (see below), whose sum is σ = 3478858812. Its totient is φ = 267853824.

The previous prime is 1004474879. The next prime is 1004474893. The reversal of 1004474880 is 884744001.

It is a happy number.

1004474880 is a `hidden beast` number, since 100 + 4 + 474 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 837755136 + 166719744 = 28944^2 + 12912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242 + ... + 44838.

Almost surely, 2^1004474880 is an apocalyptic number.

1004474880 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 1004474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739429406).

1004474880 is an abundant number, since it is smaller than the sum of its proper divisors (2474383932).

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

1004474880 is an equidigital number, since it uses as much as digits as its factorization.

1004474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43626 (or 43607 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1004474880 is about 31693.4516895841. The cubic root of 1004474880 is about 1001.4894072314.

The spelling of 1004474880 in words is "one billion, four million, four hundred seventy-four thousand, eight hundred eighty".