478993152 has 216 divisors, whose sum is σ = 1461378240. Its totient is φ = 138086400.

The previous prime is 478993129. The next prime is 478993153. The reversal of 478993152 is 251399874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (478993153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8118499 + ... + 8118557.

It is an arithmetic number, because the mean of its divisors is an integer number (6765640).

Almost surely, 2^478993152 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 478993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730689120).

478993152 is an abundant number, since it is smaller than the sum of its proper divisors (982385088).

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

478993152 is a wasteful number, since it uses less digits than its factorization.

478993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 478993152 is about 21885.9121811269. The cubic root of 478993152 is about 782.4256899155.

The spelling of 478993152 in words is "four hundred seventy-eight million, nine hundred ninety-three thousand, one hundred fifty-two".