403776 has 42 divisors (see below), whose sum is σ = 1159002. Its totient is φ = 134400.

The previous prime is 403757. The next prime is 403783. The reversal of 403776 is 677304.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 14400 = 624^2 + 120^2 .

It is a congruent number.

It is an unprimeable number.

403776 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 5 ways as a sum of consecutive naturals, for example, 226 + ... + 926.

2⁴⁰³⁷⁷⁶ 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 403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579501).

403776 is an abundant number, since it is smaller than the sum of its proper divisors (755226).

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

403776 is a wasteful number, since it uses less digits than its factorization.

403776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 403776 is about 635.4337101539. The cubic root of 403776 is about 73.9117526077.

The spelling of 403776 in words is "four hundred three thousand, seven hundred seventy-six".