1414416 has 40 divisors (see below), whose sum is σ = 3710080. Its totient is φ = 464256.

The previous prime is 1414409. The next prime is 1414423. The reversal of 1414416 is 6144141.

It is an interprime number because it is at equal distance from previous prime (1414409) and next prime (1414423).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1414392 and 1414401.

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, 3606 + ... + 3978.

It is an arithmetic number, because the mean of its divisors is an integer number (92752).

2^1414416 is an apocalyptic number.

1414416 is a gapful number since it is divisible by the number (16) 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 1414416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855040).

1414416 is an abundant number, since it is smaller than the sum of its proper divisors (2295664).

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

1414416 is a wasteful number, since it uses less digits than its factorization.

1414416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1414416 is about 1189.2922264944. The cubic root of 1414416 is about 112.2515604038.

Adding to 1414416 its reverse (6144141), we get a palindrome (7558557).

It can be divided in two parts, 1414 and 416, that added together give a triangular number (1830 = T₆₀).

The spelling of 1414416 in words is "one million, four hundred fourteen thousand, four hundred sixteen".