1004422320 has 240 divisors, whose sum is σ = 3799471104. Its totient is φ = 235584000.

The previous prime is 1004422301. The next prime is 1004422343. The reversal of 1004422320 is 232244001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1004422320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004422293 and 1004422302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243475 + ... + 247565.

Almost surely, 2^1004422320 is an apocalyptic number.

1004422320 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 1004422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899735552).

1004422320 is an abundant number, since it is smaller than the sum of its proper divisors (2795048784).

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

1004422320 is a wasteful number, since it uses less digits than its factorization.

1004422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1004422320 is about 31692.6224853672. The cubic root of 1004422320 is about 1001.4719389992.

Adding to 1004422320 its reverse (232244001), we get a palindrome (1236666321).

It can be divided in two parts, 1004 and 422320, that added together give a palindrome (423324).

The spelling of 1004422320 in words is "one billion, four million, four hundred twenty-two thousand, three hundred twenty".