306384390400 has 729 divisors, whose sum is σ = 910053046497. Its totient is φ = 102024806400.

The previous prime is 306384390397. The next prime is 306384390439. The reversal of 306384390400 is 4093483603.

The square root of 306384390400 is 553520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9472739584 + 296911650816 = 97328^2 + 544896^2 .

It is a super-2 number, since 2×306384390400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8280659182 + ... + 8280659218.

Almost surely, 2^306384390400 is an apocalyptic number.

306384390400 is the 553520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306384390400

306384390400 is an abundant number, since it is smaller than the sum of its proper divisors (603668656097).

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

306384390400 is a wasteful number, since it uses less digits than its factorization.

306384390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 306384390400 in words is "three hundred six billion, three hundred eighty-four million, three hundred ninety thousand, four hundred".