9241478400 has 1296 divisors, whose sum is σ = 41607336960. Its totient is φ = 1780531200.

The previous prime is 9241478387. The next prime is 9241478413. The reversal of 9241478400 is 48741429.

It is an interprime number because it is at equal distance from previous prime (9241478387) and next prime (9241478413).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196627177 + ... + 196627223.

Almost surely, 2^9241478400 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 9241478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803668480).

9241478400 is an abundant number, since it is smaller than the sum of its proper divisors (32365858560).

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

9241478400 is a wasteful number, since it uses less digits than its factorization.

9241478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 9241478400 is about 96132.6084115062. The cubic root of 9241478400 is about 2098.5234064361.

It can be divided in two parts, 924 and 1478400, that multiplied together give a square (1366041600 = 36960²).

The spelling of 9241478400 in words is "nine billion, two hundred forty-one million, four hundred seventy-eight thousand, four hundred".