1220948400 has 240 divisors, whose sum is σ = 4499140608. Its totient is φ = 277248000.

The previous prime is 1220948387. The next prime is 1220948429. The reversal of 1220948400 is 48490221.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1604020 + ... + 1604780.

Almost surely, 2^1220948400 is an apocalyptic number.

1220948400 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 1220948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249570304).

1220948400 is an abundant number, since it is smaller than the sum of its proper divisors (3278192208).

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

1220948400 is a wasteful number, since it uses less digits than its factorization.

1220948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1220948400 is about 34942.0720622003. The cubic root of 1220948400 is about 1068.8065419284.

The spelling of 1220948400 in words is "one billion, two hundred twenty million, nine hundred forty-eight thousand, four hundred".