8474144400 has 480 divisors, whose sum is σ = 32317276800. Its totient is φ = 2102630400.

The previous prime is 8474144353. The next prime is 8474144417. The reversal of 8474144400 is 44414748.

8474144400 is a `hidden beast` number, since 8 + 474 + 144 + 40 + 0 = 666.

It is a super-2 number, since 2×8474144400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12516862 + ... + 12517538.

It is an arithmetic number, because the mean of its divisors is an integer number (67327660).

Almost surely, 2^8474144400 is an apocalyptic number.

8474144400 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 8474144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158638400).

8474144400 is an abundant number, since it is smaller than the sum of its proper divisors (23843132400).

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

8474144400 is a wasteful number, since it uses less digits than its factorization.

8474144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 8474144400 is about 92055.1160989980. The cubic root of 8474144400 is about 2038.7561621711.

The spelling of 8474144400 in words is "eight billion, four hundred seventy-four million, one hundred forty-four thousand, four hundred".