478080672 has 48 divisors (see below), whose sum is σ = 1267412832. Its totient is φ = 157779200.

The previous prime is 478080661. The next prime is 478080683. The reversal of 478080672 is 276080874.

It is an interprime number because it is at equal distance from previous prime (478080661) and next prime (478080683).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×478080672² = 457122257879943168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14958 + ... + 34349.

It is an arithmetic number, because the mean of its divisors is an integer number (26404434).

Almost surely, 2^478080672 is an apocalyptic number.

It is an amenable number.

478080672 is an abundant number, since it is smaller than the sum of its proper divisors (789332160).

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

478080672 is a wasteful number, since it uses less digits than its factorization.

478080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49421 (or 49413 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 478080672 is about 21865.0559569373. The cubic root of 478080672 is about 781.9285348401.

The spelling of 478080672 in words is "four hundred seventy-eight million, eighty thousand, six hundred seventy-two".