415201600 has 168 divisors, whose sum is σ = 1151997696. Its totient is φ = 145920000.

The previous prime is 415201597. The next prime is 415201621. The reversal of 415201600 is 6102514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545220 + ... + 545980.

Almost surely, 2^415201600 is an apocalyptic number.

415201600 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 415201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575998848).

415201600 is an abundant number, since it is smaller than the sum of its proper divisors (736796096).

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

415201600 is a wasteful number, since it uses less digits than its factorization.

415201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 415201600 is about 20376.4962640784. The cubic root of 415201600 is about 746.0243554977.

The spelling of 415201600 in words is "four hundred fifteen million, two hundred one thousand, six hundred".