478133460 has 144 divisors (see below), whose sum is σ = 1711137792. Its totient is φ = 105753600.

The previous prime is 478133441. The next prime is 478133471. The reversal of 478133460 is 64331874.

It is a super-2 number, since 2×478133460² = 457223211143143200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32940 + ... + 45180.

Almost surely, 2^478133460 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 478133460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855568896).

478133460 is an abundant number, since it is smaller than the sum of its proper divisors (1233004332).

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

478133460 is a wasteful number, since it uses less digits than its factorization.

478133460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 478133460 is about 21866.2630552182. The cubic root of 478133460 is about 781.9573130546.

The spelling of 478133460 in words is "four hundred seventy-eight million, one hundred thirty-three thousand, four hundred sixty".