1220825408 has 56 divisors (see below), whose sum is σ = 2648309664. Its totient is φ = 553766400.

The previous prime is 1220825401. The next prime is 1220825443. The reversal of 1220825408 is 8045280221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220825401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400466 + ... + 403502.

It is an arithmetic number, because the mean of its divisors is an integer number (47291244).

Almost surely, 2^1220825408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324154832).

1220825408 is an abundant number, since it is smaller than the sum of its proper divisors (1427484256).

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

1220825408 is a wasteful number, since it uses less digits than its factorization.

1220825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 1220825408 is about 34940.3120764540. The cubic root of 1220825408 is about 1068.7706520501.

It can be divided in two parts, 1220 and 825408, that added together give a palindrome (826628).

The spelling of 1220825408 in words is "one billion, two hundred twenty million, eight hundred twenty-five thousand, four hundred eight".