415630800 has 360 divisors, whose sum is σ = 1586710944. Its totient is φ = 100131840.

The previous prime is 415630793. The next prime is 415630847. The reversal of 415630800 is 8036514.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 3884347 + ... + 3884453.

Almost surely, 2^415630800 is an apocalyptic number.

415630800 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 415630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793355472).

415630800 is an abundant number, since it is smaller than the sum of its proper divisors (1171080144).

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

415630800 is a wasteful number, since it uses less digits than its factorization.

415630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 415630800 is about 20387.0252857056. The cubic root of 415630800 is about 746.2813257559.

The spelling of 415630800 in words is "four hundred fifteen million, six hundred thirty thousand, eight hundred".