671414400 has 384 divisors, whose sum is σ = 2592840000. Its totient is φ = 169205760.

The previous prime is 671414377. The next prime is 671414417. The reversal of 671414400 is 4414176.

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 (27).

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, 1641396 + ... + 1641804.

Almost surely, 2^671414400 is an apocalyptic number.

671414400 is a gapful number since it is divisible by the number (60) 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 671414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296420000).

671414400 is an abundant number, since it is smaller than the sum of its proper divisors (1921425600).

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

671414400 is a wasteful number, since it uses less digits than its factorization.

671414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 671414400 is about 25911.6653266439. The cubic root of 671414400 is about 875.6493248290.

Adding to 671414400 its reverse (4414176), we get a palindrome (675828576).

The spelling of 671414400 in words is "six hundred seventy-one million, four hundred fourteen thousand, four hundred".