416416032 has 48 divisors (see below), whose sum is σ = 1214549280. Its totient is φ = 138805056.

The previous prime is 416416009. The next prime is 416416043. The reversal of 416416032 is 230614614.

416416032 is a `hidden beast` number, since 4 + 16 + 41 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 416415987 and 416416005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240118 + ... + 241845.

It is an arithmetic number, because the mean of its divisors is an integer number (25303110).

Almost surely, 2^416416032 is an apocalyptic number.

It is an amenable number.

416416032 is an abundant number, since it is smaller than the sum of its proper divisors (798133248).

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

416416032 is a wasteful number, since it uses less digits than its factorization.

416416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481982 (or 481968 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416416032 is about 20406.2743292351. The cubic root of 416416032 is about 746.7510016703.

The spelling of 416416032 in words is "four hundred sixteen million, four hundred sixteen thousand, thirty-two".