969462400 has 192 divisors, whose sum is σ = 2581709760. Its totient is φ = 358400000.

The previous prime is 969462367. The next prime is 969462401. The reversal of 969462400 is 4264969.

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

It is not an unprimeable number, because it can be changed into a prime (969462401) 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, 3862275 + ... + 3862525.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^969462400 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 969462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290854880).

969462400 is an abundant number, since it is smaller than the sum of its proper divisors (1612247360).

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

969462400 is a wasteful number, since it uses less digits than its factorization.

969462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 969462400 is about 31136.1911607698. The cubic root of 969462400 is about 989.7153893969.

The spelling of 969462400 in words is "nine hundred sixty-nine million, four hundred sixty-two thousand, four hundred".