968398400 has 42 divisors (see below), whose sum is σ = 2382869250. Its totient is φ = 387358720.

The previous prime is 968398381. The next prime is 968398469. The reversal of 968398400 is 4893869.

It can be written as a sum of positive squares in 3 ways, for example, as 269747776 + 698650624 = 16424^2 + 26432^2 .

It is a super-2 number, since 2×968398400² = 1875590922245120000, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 301025 + ... + 304224.

Almost surely, 2^968398400 is an apocalyptic number.

It is an amenable number.

968398400 is an abundant number, since it is smaller than the sum of its proper divisors (1414470850).

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

968398400 is a wasteful number, since it uses less digits than its factorization.

968398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605271 (or 605256 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 968398400 is about 31119.1002440623. The cubic root of 968398400 is about 989.3531808648.

The spelling of 968398400 in words is "nine hundred sixty-eight million, three hundred ninety-eight thousand, four hundred".