1220530400 has 72 divisors (see below), whose sum is σ = 2991464784. Its totient is φ = 486272000.

The previous prime is 1220530373. The next prime is 1220530411. The reversal of 1220530400 is 40350221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207500 + ... + 213300.

It is an arithmetic number, because the mean of its divisors is an integer number (41548122).

Almost surely, 2^1220530400 is an apocalyptic number.

1220530400 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 1220530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495732392).

1220530400 is an abundant number, since it is smaller than the sum of its proper divisors (1770934384).

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

1220530400 is a wasteful number, since it uses less digits than its factorization.

1220530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1220530400 is about 34936.0902220039. The cubic root of 1220530400 is about 1068.6845569403.

Adding to 1220530400 its reverse (40350221), we get a palindrome (1260880621).

The spelling of 1220530400 in words is "one billion, two hundred twenty million, five hundred thirty thousand, four hundred".