415073800 has 48 divisors (see below), whose sum is σ = 967477140. Its totient is φ = 165611520.

The previous prime is 415073773. The next prime is 415073809. The reversal of 415073800 is 8370514.

It can be written as a sum of positive squares in 6 ways, for example, as 142229476 + 272844324 = 11926^2 + 16518^2 .

It is not an unprimeable number, because it can be changed into a prime (415073809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84204 + ... + 88996.

Almost surely, 2^415073800 is an apocalyptic number.

415073800 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 415073800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483738570).

415073800 is an abundant number, since it is smaller than the sum of its proper divisors (552403340).

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

415073800 is a wasteful number, since it uses less digits than its factorization.

415073800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 415073800 is about 20373.3600567015. The cubic root of 415073800 is about 745.9478049766.

The spelling of 415073800 in words is "four hundred fifteen million, seventy-three thousand, eight hundred".