1203628416 has 128 divisors (see below), whose sum is σ = 3386400000. Its totient is φ = 377726976.

The previous prime is 1203628409. The next prime is 1203628421. The reversal of 1203628416 is 6148263021.

1203628416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1451490 + ... + 1452318.

It is an arithmetic number, because the mean of its divisors is an integer number (26456250).

Almost surely, 2^1203628416 is an apocalyptic number.

1203628416 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 1203628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693200000).

1203628416 is an abundant number, since it is smaller than the sum of its proper divisors (2182771584).

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

1203628416 is a wasteful number, since it uses less digits than its factorization.

1203628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1203628416 is about 34693.3482961792. The cubic root of 1203628416 is about 1063.7285379792.

It can be divided in two parts, 120362 and 8416, that added together give a triangular number (128778 = T₅₀₇).

The spelling of 1203628416 in words is "one billion, two hundred three million, six hundred twenty-eight thousand, four hundred sixteen".