305722368 has 198 divisors, whose sum is σ = 1028408706. Its totient is φ = 87220224.

The previous prime is 305722367. The next prime is 305722393. The reversal of 305722368 is 863227503.

305722368 is a `hidden beast` number, since 3 + 0 + 572 + 23 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305270784 + 451584 = 17472^2 + 672^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305722367) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451246 + ... + 451922.

Almost surely, 2^305722368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514204353).

305722368 is an abundant number, since it is smaller than the sum of its proper divisors (722686338).

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

305722368 is a wasteful number, since it uses less digits than its factorization.

305722368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 305722368 is about 17484.9183012103. The cubic root of 305722368 is about 673.6625500711.

It can be divided in two parts, 3057 and 22368, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 305722368 in words is "three hundred five million, seven hundred twenty-two thousand, three hundred sixty-eight".