303252664 has 128 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 115660800.

The previous prime is 303252643. The next prime is 303252667. The reversal of 303252664 is 466252303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303252667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602637 + ... + 603139.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^303252664 is an apocalyptic number.

303252664 is a gapful number since it is divisible by the number (34) 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 303252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

303252664 is an abundant number, since it is smaller than the sum of its proper divisors (428313416).

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

303252664 is a wasteful number, since it uses less digits than its factorization.

303252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 303252664 is about 17414.1512569519. The cubic root of 303252664 is about 671.8436368529.

It can be divided in two parts, 3032 and 52664, that added together give a square (55696 = 236²).

The spelling of 303252664 in words is "three hundred three million, two hundred fifty-two thousand, six hundred sixty-four".