425952 has 96 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 129024.

The previous prime is 425939. The next prime is 425959. The reversal of 425952 is 259524.

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 (27).

It is a zygodrome in base 2.

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 425952.

It is not an unprimeable number, because it can be changed into a prime (425959) by changing a digit.

425952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14674 + ... + 14702.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2⁴²⁵⁹⁵² 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 425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

425952 is an abundant number, since it is smaller than the sum of its proper divisors (934848).

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

425952 is a wasteful number, since it uses less digits than its factorization.

425952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 425952 is about 652.6499827626. The cubic root of 425952 is about 75.2408258776.

The spelling of 425952 in words is "four hundred twenty-five thousand, nine hundred fifty-two".