1200304416 has 96 divisors (see below), whose sum is σ = 3213302400. Its totient is φ = 392232960.

The previous prime is 1200304387. The next prime is 1200304439. The reversal of 1200304416 is 6144030021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1200304392 and 1200304401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560480 + ... + 1561248.

It is an arithmetic number, because the mean of its divisors is an integer number (33471900).

Almost surely, 2^1200304416 is an apocalyptic number.

1200304416 is a gapful number since it is divisible by the number (16) 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 1200304416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606651200).

1200304416 is an abundant number, since it is smaller than the sum of its proper divisors (2012997984).

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

1200304416 is a wasteful number, since it uses less digits than its factorization.

1200304416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1200304416 is about 34645.4097392425. The cubic root of 1200304416 is about 1062.7484199939.

Adding to 1200304416 its reverse (6144030021), we get a palindrome (7344334437).

The spelling of 1200304416 in words is "one billion, two hundred million, three hundred four thousand, four hundred sixteen".