9475250400 has 1008 divisors, whose sum is σ = 43443969408. Its totient is φ = 1959552000.

The previous prime is 9475250387. The next prime is 9475250443. The reversal of 9475250400 is 40525749.

9475250400 is a `hidden beast` number, since 94 + 7 + 525 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 167 ways as a sum of consecutive naturals, for example, 44906295 + ... + 44906505.

It is an arithmetic number, because the mean of its divisors is an integer number (43099176).

Almost surely, 2^9475250400 is an apocalyptic number.

9475250400 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 9475250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21721984704).

9475250400 is an abundant number, since it is smaller than the sum of its proper divisors (33968719008).

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

9475250400 is a wasteful number, since it uses less digits than its factorization.

9475250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 9475250400 is about 97340.8978795655. The cubic root of 9475250400 is about 2116.0709831665.

The spelling of 9475250400 in words is "nine billion, four hundred seventy-five million, two hundred fifty thousand, four hundred".