303020400 has 120 divisors (see below), whose sum is σ = 1012970880. Its totient is φ = 77285120.

The previous prime is 303020387. The next prime is 303020407. The reversal of 303020400 is 4020303.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303020407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22111 + ... + 33089.

It is an arithmetic number, because the mean of its divisors is an integer number (8441424).

Almost surely, 2^303020400 is an apocalyptic number.

303020400 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 303020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506485440).

303020400 is an abundant number, since it is smaller than the sum of its proper divisors (709950480).

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

303020400 is a wasteful number, since it uses less digits than its factorization.

303020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 11012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 303020400 is about 17407.4811503560. The cubic root of 303020400 is about 671.6720693068.

Adding to 303020400 its reverse (4020303), we get a palindrome (307040703).

The spelling of 303020400 in words is "three hundred three million, twenty thousand, four hundred".