967448400 has 120 divisors (see below), whose sum is σ = 3171300000. Its totient is φ = 251973120.

The previous prime is 967448369. The next prime is 967448401. The reversal of 967448400 is 4844769.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967448401) 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, 42226 + ... + 60974.

It is an arithmetic number, because the mean of its divisors is an integer number (26427500).

Almost surely, 2^967448400 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 967448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585650000).

967448400 is an abundant number, since it is smaller than the sum of its proper divisors (2203851600).

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

967448400 is a wasteful number, since it uses less digits than its factorization.

967448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18813 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 967448400 is about 31103.8325612777. The cubic root of 967448400 is about 989.0295561279.

The spelling of 967448400 in words is "nine hundred sixty-seven million, four hundred forty-eight thousand, four hundred".