1220145408 has 54 divisors (see below), whose sum is σ = 3517986654. Its totient is φ = 406714368.

The previous prime is 1220145373. The next prime is 1220145413. The reversal of 1220145408 is 8045410221.

1220145408 is a `hidden beast` number, since 1 + 2 + 201 + 454 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1158177024 + 61968384 = 34032^2 + 7872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 262485 + ... + 267092.

It is an arithmetic number, because the mean of its divisors is an integer number (65147901).

Almost surely, 2^1220145408 is an apocalyptic number.

1220145408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1220145408 is an abundant number, since it is smaller than the sum of its proper divisors (2297841246).

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

1220145408 is an equidigital number, since it uses as much as digits as its factorization.

1220145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529599 (or 529582 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1220145408 is about 34930.5798405924. The cubic root of 1220145408 is about 1068.5721800392.

Adding to 1220145408 its reverse (8045410221), we get a palindrome (9265555629).

The spelling of 1220145408 in words is "one billion, two hundred twenty million, one hundred forty-five thousand, four hundred eight".