1228308480 has 576 divisors, whose sum is σ = 5244634980. Its totient is φ = 264241152.

The previous prime is 1228308479. The next prime is 1228308493. The reversal of 1228308480 is 848038221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1221083136 + 7225344 = 34944^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72253432 + ... + 72253448.

Almost surely, 2^1228308480 is an apocalyptic number.

1228308480 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 1228308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622317490).

1228308480 is an abundant number, since it is smaller than the sum of its proper divisors (4016326500).

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

1228308480 is an equidigital number, since it uses as much as digits as its factorization.

1228308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1228308480 is about 35047.2321303694. The cubic root of 1228308480 is about 1070.9498887229.

The spelling of 1228308480 in words is "one billion, two hundred twenty-eight million, three hundred eight thousand, four hundred eighty".