426720 has 96 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 96768.

The previous prime is 426709. The next prime is 426731. The reversal of 426720 is 27624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426709) and next prime (426731).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426720.

It is an unprimeable number.

426720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3297 + ... + 3423.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2⁴²⁶⁷²⁰ is an apocalyptic number.

426720 is a gapful number since it is divisible by the number (40) 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 426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774144).

426720 is an abundant number, since it is smaller than the sum of its proper divisors (1121568).

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

426720 is a wasteful number, since it uses less digits than its factorization.

426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

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

The square root of 426720 is about 653.2380882955. The cubic root of 426720 is about 75.2860189666.

The spelling of 426720 in words is "four hundred twenty-six thousand, seven hundred twenty".