426972 has 96 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 101376.

The previous prime is 426971. The next prime is 426973. The reversal of 426972 is 279624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426971) and next prime (426973).

It is a d-powerful number, because it can be written as 4⁹ + 2 + 9 + 6⁶ + 7⁶ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18553 + ... + 18575.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2⁴²⁶⁹⁷² is an apocalyptic number.

426972 is a gapful number since it is divisible by the number (42) 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 426972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

426972 is an abundant number, since it is smaller than the sum of its proper divisors (927780).

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

426972 is a wasteful number, since it uses less digits than its factorization.

426972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 426972 is about 653.4309450891. The cubic root of 426972 is about 75.3008361326.

The spelling of 426972 in words is "four hundred twenty-six thousand, nine hundred seventy-two".