1004862348 has 168 divisors, whose sum is σ = 3173022720. Its totient is φ = 271887840.

The previous prime is 1004862347. The next prime is 1004862409. The reversal of 1004862348 is 8432684001.

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

It is not an unprimeable number, because it can be changed into a prime (1004862347) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 386533 + ... + 389123.

It is an arithmetic number, because the mean of its divisors is an integer number (18887040).

Almost surely, 2^1004862348 is an apocalyptic number.

1004862348 is a gapful number since it is divisible by the number (18) 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 1004862348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586511360).

1004862348 is an abundant number, since it is smaller than the sum of its proper divisors (2168160372).

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

1004862348 is a wasteful number, since it uses less digits than its factorization.

1004862348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1004862348 is about 31699.5638455800. The cubic root of 1004862348 is about 1001.6181628034.

The spelling of 1004862348 in words is "one billion, four million, eight hundred sixty-two thousand, three hundred forty-eight".