1204419216 has 240 divisors, whose sum is σ = 4253352768. Its totient is φ = 288691200.

The previous prime is 1204419211. The next prime is 1204419257. The reversal of 1204419216 is 6129144021.

1204419216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204419211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334546 + ... + 338126.

Almost surely, 2^1204419216 is an apocalyptic number.

1204419216 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 1204419216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126676384).

1204419216 is an abundant number, since it is smaller than the sum of its proper divisors (3048933552).

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

1204419216 is a wasteful number, since it uses less digits than its factorization.

1204419216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1204419216 is about 34704.7434221894. The cubic root of 1204419216 is about 1063.9614482800.

The spelling of 1204419216 in words is "one billion, two hundred four million, four hundred nineteen thousand, two hundred sixteen".