414493800448 has 192 divisors, whose sum is σ = 1040883480000. Its totient is φ = 163971956736.

The previous prime is 414493800431. The next prime is 414493800481. The reversal of 414493800448 is 844008394414.

It is a super-2 number, since 2×414493800448² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9109338 + ... + 9154726.

It is an arithmetic number, because the mean of its divisors is an integer number (5421268125).

Almost surely, 2^414493800448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414493800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520441740000).

414493800448 is an abundant number, since it is smaller than the sum of its proper divisors (626389679552).

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

414493800448 is an equidigital number, since it uses as much as digits as its factorization.

414493800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45445 (or 45411 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 414493800448 in words is "four hundred fourteen billion, four hundred ninety-three million, eight hundred thousand, four hundred forty-eight".