436960 has 24 divisors (see below), whose sum is σ = 1032696. Its totient is φ = 174720.

The previous prime is 436957. The next prime is 436963. The reversal of 436960 is 69634.

436960 = T₁₄₉ + T₁₅₀ + ... + T₁₈₀.

It is an interprime number because it is at equal distance from previous prime (436957) and next prime (436963).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1206 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (43029).

2⁴³⁶⁹⁶⁰ is an apocalyptic number.

436960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

436960 is an abundant number, since it is smaller than the sum of its proper divisors (595736).

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

436960 is a wasteful number, since it uses less digits than its factorization.

436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 436960 is about 661.0295000981. The cubic root of 436960 is about 75.8834779512.

The spelling of 436960 in words is "four hundred thirty-six thousand, nine hundred sixty".