478338912000 has 576 divisors, whose sum is σ = 1842166609920. Its totient is φ = 122006016000.

The previous prime is 478338911993. The next prime is 478338912017. The reversal of 478338912000 is 219833874.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×478338912000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19859965 + ... + 19884035.

It is an arithmetic number, because the mean of its divisors is an integer number (3198205920).

Almost surely, 2^478338912000 is an apocalyptic number.

478338912000 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 478338912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921083304960).

478338912000 is an abundant number, since it is smaller than the sum of its proper divisors (1363827697920).

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

478338912000 is a wasteful number, since it uses less digits than its factorization.

478338912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24134 (or 24104 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 478338912000 in words is "four hundred seventy-eight billion, three hundred thirty-eight million, nine hundred twelve thousand".