1042304220 has 192 divisors, whose sum is σ = 3328295040. Its totient is φ = 270729216.

The previous prime is 1042304213. The next prime is 1042304257. The reversal of 1042304220 is 224032401.

1042304220 is a `hidden beast` number, since 10 + 4 + 230 + 422 + 0 = 666.

It is a super-3 number, since 3×1042304220³ (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 = 1042304193 and 1042304202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5400444 + ... + 5400636.

It is an arithmetic number, because the mean of its divisors is an integer number (17334870).

Almost surely, 2^1042304220 is an apocalyptic number.

1042304220 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 1042304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664147520).

1042304220 is an abundant number, since it is smaller than the sum of its proper divisors (2285990820).

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

1042304220 is a wasteful number, since it uses less digits than its factorization.

1042304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

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

The square root of 1042304220 is about 32284.7366413294. The cubic root of 1042304220 is about 1013.9071025850.

Adding to 1042304220 its reverse (224032401), we get a palindrome (1266336621).

It can be divided in two parts, 104 and 2304220, that added together give a square (2304324 = 1518²).

The spelling of 1042304220 in words is "one billion, forty-two million, three hundred four thousand, two hundred twenty".