478738920000 has 420 divisors, whose sum is σ = 1739849482448. Its totient is φ = 116054400000.

The previous prime is 478738919999. The next prime is 478738920013. The reversal of 478738920000 is 29837874.

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

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 59 ways as a sum of consecutive naturals, for example, 14503515 + ... + 14536485.

Almost surely, 2^478738920000 is an apocalyptic number.

478738920000 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 478738920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869924741224).

478738920000 is an abundant number, since it is smaller than the sum of its proper divisors (1261110562448).

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

478738920000 is a wasteful number, since it uses less digits than its factorization.

478738920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33028 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 478738920000 in words is "four hundred seventy-eight billion, seven hundred thirty-eight million, nine hundred twenty thousand".