4000416 has 48 divisors (see below), whose sum is σ = 12003264. Its totient is φ = 1142784.

The previous prime is 4000379. The next prime is 4000439. The reversal of 4000416 is 6140004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4000395 and 4000404.

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, 2305 + ... + 3648.

It is an arithmetic number, because the mean of its divisors is an integer number (250068).

Almost surely, 2^4000416 is an apocalyptic number.

It is an amenable number.

4000416 is an abundant number, since it is smaller than the sum of its proper divisors (8002848).

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

4000416 is a wasteful number, since it uses less digits than its factorization.

4000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4000416 is about 2000.1039972961. The cubic root of 4000416 is about 158.7456079964.

The spelling of 4000416 in words is "four million, four hundred sixteen", and thus it is an aban number.