1484078220 has 288 divisors, whose sum is σ = 5100157440. Its totient is φ = 357540480.

The previous prime is 1484078209. The next prime is 1484078227. The reversal of 1484078220 is 228704841.

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 (1484078227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4483455 + ... + 4483785.

It is an arithmetic number, because the mean of its divisors is an integer number (17708880).

Almost surely, 2^1484078220 is an apocalyptic number.

1484078220 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 1484078220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550078720).

1484078220 is an abundant number, since it is smaller than the sum of its proper divisors (3616079220).

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

1484078220 is a wasteful number, since it uses less digits than its factorization.

1484078220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

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

The square root of 1484078220 is about 38523.7358001531. The cubic root of 1484078220 is about 1140.6496297378.

The spelling of 1484078220 in words is "one billion, four hundred eighty-four million, seventy-eight thousand, two hundred twenty".