9257472000 has 936 divisors, whose sum is σ = 39767567112. Its totient is φ = 2064384000.

The previous prime is 9257471969. The next prime is 9257472013. The reversal of 9257472000 is 2747529.

It can be written as a sum of positive squares in 4 ways, for example, as 2088124416 + 7169347584 = 45696^2 + 84672^2 .

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 71 ways as a sum of consecutive naturals, for example, 225791980 + ... + 225792020.

It is an arithmetic number, because the mean of its divisors is an integer number (42486717).

Almost surely, 2^9257472000 is an apocalyptic number.

9257472000 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 9257472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883783556).

9257472000 is an abundant number, since it is smaller than the sum of its proper divisors (30510095112).

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

9257472000 is a wasteful number, since it uses less digits than its factorization.

9257472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 9257472000 is about 96215.7575452171. The cubic root of 9257472000 is about 2099.7332994637.

The spelling of 9257472000 in words is "nine billion, two hundred fifty-seven million, four hundred seventy-two thousand".