478084992 has 512 divisors, whose sum is σ = 1786060800. Its totient is φ = 109486080.

The previous prime is 478084991. The next prime is 478085053. The reversal of 478084992 is 299480874.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478084991) 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, 12921198 + ... + 12921234.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^478084992 is an apocalyptic number.

478084992 is a gapful number since it is divisible by the number (42) 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 478084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893030400).

478084992 is an abundant number, since it is smaller than the sum of its proper divisors (1307975808).

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

478084992 is a wasteful number, since it uses less digits than its factorization.

478084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 478084992 is about 21865.1547444787. The cubic root of 478084992 is about 781.9308900361.

The spelling of 478084992 in words is "four hundred seventy-eight million, eighty-four thousand, nine hundred ninety-two".