478578240 has 448 divisors, whose sum is σ = 1986808320. Its totient is φ = 106168320.

The previous prime is 478578229. The next prime is 478578241. The reversal of 478578240 is 42875874.

478578240 is a `hidden beast` number, since 4 + 78 + 578 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478578241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2479584 + ... + 2479776.

It is an arithmetic number, because the mean of its divisors is an integer number (4434840).

Almost surely, 2^478578240 is an apocalyptic number.

478578240 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 478578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993404160).

478578240 is an abundant number, since it is smaller than the sum of its proper divisors (1508230080).

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

478578240 is a wasteful number, since it uses less digits than its factorization.

478578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 478578240 is about 21876.4311531840. The cubic root of 478578240 is about 782.1997078479.

The spelling of 478578240 in words is "four hundred seventy-eight million, five hundred seventy-eight thousand, two hundred forty".