8414960400 has 600 divisors, whose sum is σ = 37663881024. Its totient is φ = 1748044800.

The previous prime is 8414960387. The next prime is 8414960423. The reversal of 8414960400 is 40694148.

It is a happy number.

8414960400 is a `hidden beast` number, since 8 + 4 + 1 + 49 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2493114 + ... + 2496486.

Almost surely, 2^8414960400 is an apocalyptic number.

8414960400 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 8414960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831940512).

8414960400 is an abundant number, since it is smaller than the sum of its proper divisors (29248920624).

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

8414960400 is a wasteful number, since it uses less digits than its factorization.

8414960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8414960400 is about 91733.0932651897. The cubic root of 8414960400 is about 2033.9987991744.

The spelling of 8414960400 in words is "eight billion, four hundred fourteen million, nine hundred sixty thousand, four hundred".