402976 has 36 divisors (see below), whose sum is σ = 926478. Its totient is φ = 172032.

The previous prime is 402949. The next prime is 402991. The reversal of 402976 is 679204.

It can be written as a sum of positive squares in only one way, i.e., 226576 + 176400 = 476^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1440 + ... + 1696.

2⁴⁰²⁹⁷⁶ 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 402976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463239).

402976 is an abundant number, since it is smaller than the sum of its proper divisors (523502).

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

402976 is a wasteful number, since it uses less digits than its factorization.

402976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 402976 is about 634.8039067303. The cubic root of 402976 is about 73.8629066336.

It can be divided in two parts, 402 and 976, that added together give a triangular number (1378 = T₅₂).

The spelling of 402976 in words is "four hundred two thousand, nine hundred seventy-six".