9484646400 has 360 divisors, whose sum is σ = 35144469360. Its totient is φ = 2528133120.

The previous prime is 9484646377. The next prime is 9484646401. The reversal of 9484646400 is 46464849.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9484646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146057 + ... + 4148343.

It is an arithmetic number, because the mean of its divisors is an integer number (97623526).

Almost surely, 2^9484646400 is an apocalyptic number.

9484646400 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 9484646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572234680).

9484646400 is an abundant number, since it is smaller than the sum of its proper divisors (25659822960).

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

9484646400 is a wasteful number, since it uses less digits than its factorization.

9484646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9484646400 is about 97389.1492929269. The cubic root of 9484646400 is about 2116.7702095241.

It can be divided in two parts, 94846 and 46400, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 9484646400 in words is "nine billion, four hundred eighty-four million, six hundred forty-six thousand, four hundred".