9248870400 has 1248 divisors, whose sum is σ = 42122446848. Its totient is φ = 1730150400.

The previous prime is 9248870333. The next prime is 9248870401. The reversal of 9248870400 is 40788429.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9248870401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402124789 + ... + 402124811.

Almost surely, 2^9248870400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9248870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061223424).

9248870400 is an abundant number, since it is smaller than the sum of its proper divisors (32873576448).

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

9248870400 is a wasteful number, since it uses less digits than its factorization.

9248870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 9248870400 is about 96171.0476182931. The cubic root of 9248870400 is about 2099.0827740408.

The spelling of 9248870400 in words is "nine billion, two hundred forty-eight million, eight hundred seventy thousand, four hundred".