969494400 has 576 divisors, whose sum is σ = 4145382000. Its totient is φ = 220631040.

The previous prime is 969494381. The next prime is 969494419. The reversal of 969494400 is 4494969.

It is an interprime number because it is at equal distance from previous prime (969494381) and next prime (969494419).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233486 + ... + 4233714.

Almost surely, 2^969494400 is an apocalyptic number.

969494400 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 969494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072691000).

969494400 is an abundant number, since it is smaller than the sum of its proper divisors (3175887600).

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

969494400 is a wasteful number, since it uses less digits than its factorization.

969494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 969494400 is about 31136.7050279891. The cubic root of 969494400 is about 989.7262787805.

The spelling of 969494400 in words is "nine hundred sixty-nine million, four hundred ninety-four thousand, four hundred".