478017540 has 432 divisors, whose sum is σ = 1986828480. Its totient is φ = 91445760.

The previous prime is 478017521. The next prime is 478017557. The reversal of 478017540 is 45710874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 478017495 and 478017504.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1261071 + ... + 1261449.

It is an arithmetic number, because the mean of its divisors is an integer number (4599140).

Almost surely, 2^478017540 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 478017540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993414240).

478017540 is an abundant number, since it is smaller than the sum of its proper divisors (1508810940).

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

478017540 is a wasteful number, since it uses less digits than its factorization.

478017540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 478017540 is about 21863.6122358589. The cubic root of 478017540 is about 781.8941146483.

The spelling of 478017540 in words is "four hundred seventy-eight million, seventeen thousand, five hundred forty".