402560 has 64 divisors (see below), whose sum is σ = 1046520. Its totient is φ = 147456.

The previous prime is 402559. The next prime is 402581. The reversal of 402560 is 65204.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 3136 = 632^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10862 + ... + 10898.

2⁴⁰²⁵⁶⁰ is an apocalyptic number.

402560 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 402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523260).

402560 is an abundant number, since it is smaller than the sum of its proper divisors (643960).

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

402560 is a wasteful number, since it uses less digits than its factorization.

402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 402560 is about 634.4761618847. The cubic root of 402560 is about 73.8374811752.

Adding to 402560 its reverse (65204), we get a palindrome (467764).

It can be divided in two parts, 40 and 2560, that multiplied together give a square (102400 = 320²).

The spelling of 402560 in words is "four hundred two thousand, five hundred sixty".