3900456 has 96 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 1088640.

The previous prime is 3900439. The next prime is 3900469. The reversal of 3900456 is 6540093.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35730 + ... + 35838.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 2^3900456 is an apocalyptic number.

3900456 is a gapful number since it is divisible by the number (36) 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 3900456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177600).

3900456 is an abundant number, since it is smaller than the sum of its proper divisors (8454744).

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

3900456 is a wasteful number, since it uses less digits than its factorization.

3900456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3900456 is about 1974.9572147264. The cubic root of 3900456 is about 157.4122262256.

It can be divided in two parts, 39004 and 56, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 3900456 in words is "three million, nine hundred thousand, four hundred fifty-six".