303312794400 has 1728 divisors, whose sum is σ = 1444623538176. Its totient is φ = 60217344000.

The previous prime is 303312794357. The next prime is 303312794437. The reversal of 303312794400 is 4497213303.

303312794400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 344281960 + ... + 344282840.

It is an arithmetic number, because the mean of its divisors is an integer number (836008992).

Almost surely, 2^303312794400 is an apocalyptic number.

303312794400 is a gapful number since it is divisible by the number (30) 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 303312794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722311769088).

303312794400 is an abundant number, since it is smaller than the sum of its proper divisors (1141310743776).

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

303312794400 is a wasteful number, since it uses less digits than its factorization.

303312794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 303312794400 in words is "three hundred three billion, three hundred twelve million, seven hundred ninety-four thousand, four hundred".