478949760 has 160 divisors (see below), whose sum is σ = 1710601200. Its totient is φ = 127706112.

The previous prime is 478949759. The next prime is 478949771. The reversal of 478949760 is 67949874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 478949697 and 478949706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47221 + ... + 56459.

Almost surely, 2^478949760 is an apocalyptic number.

478949760 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 478949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855300600).

478949760 is an abundant number, since it is smaller than the sum of its proper divisors (1231651440).

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

478949760 is an equidigital number, since it uses as much as digits as its factorization.

478949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 478949760 is about 21884.9208360460. The cubic root of 478949760 is about 782.4020625487.

The spelling of 478949760 in words is "four hundred seventy-eight million, nine hundred forty-nine thousand, seven hundred sixty".