478449504 has 144 divisors (see below), whose sum is σ = 1519841232. Its totient is φ = 147184128.

The previous prime is 478449487. The next prime is 478449527. The reversal of 478449504 is 405944874.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 478449504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98722 + ... + 103454.

It is an arithmetic number, because the mean of its divisors is an integer number (10554453).

Almost surely, 2^478449504 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 478449504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759920616).

478449504 is an abundant number, since it is smaller than the sum of its proper divisors (1041391728).

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

478449504 is a wasteful number, since it uses less digits than its factorization.

478449504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 478449504 is about 21873.4886106446. The cubic root of 478449504 is about 782.1295651603.

The spelling of 478449504 in words is "four hundred seventy-eight million, four hundred forty-nine thousand, five hundred four".