478674000 has 480 divisors, whose sum is σ = 1991658240. Its totient is φ = 104832000.

The previous prime is 478673983. The next prime is 478674013. The reversal of 478674000 is 476874.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3653935 + ... + 3654065.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2^478674000 is an apocalyptic number.

478674000 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 478674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995829120).

478674000 is an abundant number, since it is smaller than the sum of its proper divisors (1512984240).

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

478674000 is a wasteful number, since it uses less digits than its factorization.

478674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 478674000 is about 21878.6197005204. The cubic root of 478674000 is about 782.2518751792.

The spelling of 478674000 in words is "four hundred seventy-eight million, six hundred seventy-four thousand".