7418000 has 40 divisors (see below), whose sum is σ = 17941560. Its totient is φ = 2966400.

The previous prime is 7417987. The next prime is 7418003. The reversal of 7418000 is 8147.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 6615184 = 896^2 + 2572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (7418003) 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, 146 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (448539).

Almost surely, 2^7418000 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 7418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970780).

7418000 is an abundant number, since it is smaller than the sum of its proper divisors (10523560).

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

7418000 is a wasteful number, since it uses less digits than its factorization.

7418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 7418000 is about 2723.6005580848. The cubic root of 7418000 is about 195.0273904106.

The spelling of 7418000 in words is "seven million, four hundred eighteen thousand".