7413420 has 96 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1603584.

The previous prime is 7413379. The next prime is 7413443. The reversal of 7413420 is 243147.

7413420 = 231² + 232² + ... + 325².

7413420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7516 + ... + 8444.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^7413420 is an apocalyptic number.

7413420 is a gapful number since it is divisible by the number (70) 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 7413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

7413420 is an abundant number, since it is smaller than the sum of its proper divisors (17584980).

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

7413420 is a wasteful number, since it uses less digits than its factorization.

7413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7413420 is about 2722.7596294936. The cubic root of 7413420 is about 194.9872443990.

Adding to 7413420 its reverse (243147), we get a palindrome (7656567).

The spelling of 7413420 in words is "seven million, four hundred thirteen thousand, four hundred twenty".