1414464 has 56 divisors (see below), whose sum is σ = 3840480. Its totient is φ = 459264.

The previous prime is 1414463. The next prime is 1414481. The reversal of 1414464 is 4644141.

1414464 = T₈₀ + T₈₁ + ... + T₂₀₇.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10107 + ... + 10245.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2^1414464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240).

1414464 is an abundant number, since it is smaller than the sum of its proper divisors (2426016).

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

1414464 is a wasteful number, since it uses less digits than its factorization.

1414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1414464 is about 1189.3124063929. The cubic root of 1414464 is about 112.2528301891.

The spelling of 1414464 in words is "one million, four hundred fourteen thousand, four hundred sixty-four".