8491478400 has 384 divisors, whose sum is σ = 32157540000. Its totient is φ = 2185666560.

The previous prime is 8491478357. The next prime is 8491478441. The reversal of 8491478400 is 48741948.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503906 + ... + 2507294.

Almost surely, 2^8491478400 is an apocalyptic number.

8491478400 is a gapful number since it is divisible by the number (80) 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 8491478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078770000).

8491478400 is an abundant number, since it is smaller than the sum of its proper divisors (23666061600).

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

8491478400 is a wasteful number, since it uses less digits than its factorization.

8491478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8491478400 is about 92149.2181193091. The cubic root of 8491478400 is about 2040.1453183678.

The spelling of 8491478400 in words is "eight billion, four hundred ninety-one million, four hundred seventy-eight thousand, four hundred".