1204416416 has 48 divisors (see below), whose sum is σ = 2712346560. Its totient is φ = 515719680.

The previous prime is 1204416379. The next prime is 1204416419. The reversal of 1204416416 is 6146144021.

It is not an unprimeable number, because it can be changed into a prime (1204416419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404180 + ... + 407148.

It is an arithmetic number, because the mean of its divisors is an integer number (56507220).

Almost surely, 2^1204416416 is an apocalyptic number.

1204416416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1204416416 is an abundant number, since it is smaller than the sum of its proper divisors (1507930144).

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

1204416416 is a wasteful number, since it uses less digits than its factorization.

1204416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1204416416 is about 34704.7030818591. The cubic root of 1204416416 is about 1063.9606237901.

The spelling of 1204416416 in words is "one billion, two hundred four million, four hundred sixteen thousand, four hundred sixteen".