1004400420 has 96 divisors (see below), whose sum is σ = 2967444480. Its totient is φ = 253134720.

The previous prime is 1004400389. The next prime is 1004400421. The reversal of 1004400420 is 240044001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1004400420.

It is not an unprimeable number, because it can be changed into a prime (1004400421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650169 + ... + 651711.

It is an arithmetic number, because the mean of its divisors is an integer number (30910880).

Almost surely, 2^1004400420 is an apocalyptic number.

1004400420 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 1004400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483722240).

1004400420 is an abundant number, since it is smaller than the sum of its proper divisors (1963044060).

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

1004400420 is a wasteful number, since it uses less digits than its factorization.

1004400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1004400420 is about 31692.2769772069. The cubic root of 1004400420 is about 1001.4646603893.

Adding to 1004400420 its reverse (240044001), we get a palindrome (1244444421).

The spelling of 1004400420 in words is "one billion, four million, four hundred thousand, four hundred twenty".