416536050 has 96 divisors (see below), whose sum is σ = 1242777600. Its totient is φ = 90192960.

The previous prime is 416536039. The next prime is 416536061. The reversal of 416536050 is 50635614.

It is an interprime number because it is at equal distance from previous prime (416536039) and next prime (416536061).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416535999 and 416536017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9511 + ... + 30389.

It is an arithmetic number, because the mean of its divisors is an integer number (12945600).

Almost surely, 2^416536050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416536050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621388800).

416536050 is an abundant number, since it is smaller than the sum of its proper divisors (826241550).

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

416536050 is a wasteful number, since it uses less digits than its factorization.

416536050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20920 (or 20915 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 416536050 is about 20409.2148305612. The cubic root of 416536050 is about 746.8227367828.

The spelling of 416536050 in words is "four hundred sixteen million, five hundred thirty-six thousand, fifty".