415050048 has 112 divisors (see below), whose sum is σ = 1394520960. Its totient is φ = 118582272.

The previous prime is 415050037. The next prime is 415050071. The reversal of 415050048 is 840050514.

415050048 is a `hidden beast` number, since 4 + 150 + 500 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5061 + ... + 29252.

It is an arithmetic number, because the mean of its divisors is an integer number (12451080).

Almost surely, 2^415050048 is an apocalyptic number.

415050048 is a gapful number since it is divisible by the number (48) 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 415050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697260480).

415050048 is an abundant number, since it is smaller than the sum of its proper divisors (979470912).

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

415050048 is a wasteful number, since it uses less digits than its factorization.

415050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34341 (or 34325 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 415050048 is about 20372.7771302785. Note that the first 3 decimals coincide. The cubic root of 415050048 is about 745.9335761092.

The spelling of 415050048 in words is "four hundred fifteen million, fifty thousand, forty-eight".