478640 has 40 divisors (see below), whose sum is σ = 1154688. Its totient is φ = 184320.

The previous prime is 478637. The next prime is 478651. The reversal of 478640 is 46874.

478640 = T₁₆₀ + T₁₆₁ + ... + T₁₉₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384 + ... + 2576.

2⁴⁷⁸⁶⁴⁰ is an apocalyptic number.

478640 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 478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577344).

478640 is an abundant number, since it is smaller than the sum of its proper divisors (676048).

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

478640 is a wasteful number, since it uses less digits than its factorization.

478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 478640 is about 691.8381313573. The cubic root of 478640 is about 78.2233353740.

The spelling of 478640 in words is "four hundred seventy-eight thousand, six hundred forty".