416260800 has 252 divisors, whose sum is σ = 1497351336. Its totient is φ = 109670400.

The previous prime is 416260799. The next prime is 416260813. The reversal of 416260800 is 8062614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1972695 + ... + 1972905.

Almost surely, 2^416260800 is an apocalyptic number.

416260800 is a gapful number since it is divisible by the number (40) 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 416260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748675668).

416260800 is an abundant number, since it is smaller than the sum of its proper divisors (1081090536).

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

416260800 is a wasteful number, since it uses less digits than its factorization.

416260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 416260800 is about 20402.4704386503. The cubic root of 416260800 is about 746.6581986001.

The spelling of 416260800 in words is "four hundred sixteen million, two hundred sixty thousand, eight hundred".