8479814400 has 432 divisors, whose sum is σ = 32117944320. Its totient is φ = 2186956800.

The previous prime is 8479814359. The next prime is 8479814429. The reversal of 8479814400 is 44189748.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×8479814400³ (a number of 31 digits) contains 333 as substring.

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

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, 5356009 + ... + 5357591.

Almost surely, 2^8479814400 is an apocalyptic number.

8479814400 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 8479814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058972160).

8479814400 is an abundant number, since it is smaller than the sum of its proper divisors (23638129920).

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

8479814400 is a wasteful number, since it uses less digits than its factorization.

8479814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1624 counting only the distinct ones).

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

The square root of 8479814400 is about 92085.9077166534. The cubic root of 8479814400 is about 2039.2107673664.

The spelling of 8479814400 in words is "eight billion, four hundred seventy-nine million, eight hundred fourteen thousand, four hundred".