478279840 has 48 divisors (see below), whose sum is σ = 1141621992. Its totient is φ = 189333504.

The previous prime is 478279829. The next prime is 478279847. The reversal of 478279840 is 48972874.

It can be written as a sum of positive squares in 4 ways, for example, as 241243024 + 237036816 = 15532^2 + 15396^2 .

It is not an unprimeable number, because it can be changed into a prime (478279847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112 + ... + 30928.

Almost surely, 2^478279840 is an apocalyptic number.

478279840 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 478279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810996).

478279840 is an abundant number, since it is smaller than the sum of its proper divisors (663342152).

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

478279840 is a wasteful number, since it uses less digits than its factorization.

478279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30929 (or 30921 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 478279840 is about 21869.6099645147. The cubic root of 478279840 is about 782.0371033518.

The spelling of 478279840 in words is "four hundred seventy-eight million, two hundred seventy-nine thousand, eight hundred forty".