967460400 has 180 divisors, whose sum is σ = 3466057920. Its totient is φ = 249638400.

The previous prime is 967460363. The next prime is 967460401. The reversal of 967460400 is 4064769.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (967460401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 107266 + ... + 115934.

Almost surely, 2^967460400 is an apocalyptic number.

967460400 is a gapful number since it is divisible by the number (90) 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 967460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733028960).

967460400 is an abundant number, since it is smaller than the sum of its proper divisors (2498597520).

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

967460400 is a wasteful number, since it uses less digits than its factorization.

967460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 967460400 is about 31104.0254629525. The cubic root of 967460400 is about 989.0336453402.

The spelling of 967460400 in words is "nine hundred sixty-seven million, four hundred sixty thousand, four hundred".