9473270400 has 576 divisors, whose sum is σ = 39067142400. Its totient is φ = 2160230400.

The previous prime is 9473270393. The next prime is 9473270447. The reversal of 9473270400 is 40723749.

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 (36).

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, 5384721 + ... + 5386479.

It is an arithmetic number, because the mean of its divisors is an integer number (67824900).

Almost surely, 2^9473270400 is an apocalyptic number.

9473270400 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 9473270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533571200).

9473270400 is an abundant number, since it is smaller than the sum of its proper divisors (29593872000).

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

9473270400 is a wasteful number, since it uses less digits than its factorization.

9473270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 9473270400 is about 97330.7269057413. The cubic root of 9473270400 is about 2115.9235776540.

The spelling of 9473270400 in words is "nine billion, four hundred seventy-three million, two hundred seventy thousand, four hundred".