7414000 has 80 divisors (see below), whose sum is σ = 19614816. Its totient is φ = 2688000.

The previous prime is 7413997. The next prime is 7414003. The reversal of 7414000 is 4147.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7413997) and next prime (7414003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7414003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21832 + ... + 22168.

Almost surely, 2^7414000 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 7414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807408).

7414000 is an abundant number, since it is smaller than the sum of its proper divisors (12200816).

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

7414000 is a wasteful number, since it uses less digits than its factorization.

7414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 7414000 is about 2722.8661369961. The cubic root of 7414000 is about 194.9923293060.

Adding to 7414000 its reverse (4147), we get a palindrome (7418147).

The spelling of 7414000 in words is "seven million, four hundred fourteen thousand".