1220874480 has 240 divisors, whose sum is σ = 4847993280. Its totient is φ = 269402112.

The previous prime is 1220874467. The next prime is 1220874481. The reversal of 1220874480 is 844780221.

1220874480 is a `hidden beast` number, since 1 + 2 + 208 + 7 + 448 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220874481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141984 + ... + 150336.

It is an arithmetic number, because the mean of its divisors is an integer number (20199972).

Almost surely, 2^1220874480 is an apocalyptic number.

1220874480 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 1220874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423996640).

1220874480 is an abundant number, since it is smaller than the sum of its proper divisors (3627118800).

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

1220874480 is a wasteful number, since it uses less digits than its factorization.

1220874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8399 counting only the distinct ones).

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

The square root of 1220874480 is about 34941.0142955238. The cubic root of 1220874480 is about 1068.7849718730.

The spelling of 1220874480 in words is "one billion, two hundred twenty million, eight hundred seventy-four thousand, four hundred eighty".