303428400 has 240 divisors, whose sum is σ = 1074597888. Its totient is φ = 72576000.

The previous prime is 303428383. The next prime is 303428401. The reversal of 303428400 is 4824303.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303428401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676310 + ... + 1676490.

Almost surely, 2^303428400 is an apocalyptic number.

303428400 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 303428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537298944).

303428400 is an abundant number, since it is smaller than the sum of its proper divisors (771169488).

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

303428400 is a wasteful number, since it uses less digits than its factorization.

303428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 303428400 is about 17419.1963075223. The cubic root of 303428400 is about 671.9733903862.

The spelling of 303428400 in words is "three hundred three million, four hundred twenty-eight thousand, four hundred".