9408470400 has 864 divisors, whose sum is σ = 40066018200. Its totient is φ = 2095349760.

The previous prime is 9408470389. The next prime is 9408470411. The reversal of 9408470400 is 40748049.

It is an interprime number because it is at equal distance from previous prime (9408470389) and next prime (9408470411).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 83260744 + ... + 83260856.

Almost surely, 2^9408470400 is an apocalyptic number.

9408470400 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 9408470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033009100).

9408470400 is an abundant number, since it is smaller than the sum of its proper divisors (30657547800).

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

9408470400 is a wasteful number, since it uses less digits than its factorization.

9408470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9408470400 is about 96997.2700646776. The cubic root of 9408470400 is about 2111.0880187892.

The spelling of 9408470400 in words is "nine billion, four hundred eight million, four hundred seventy thousand, four hundred".