478912831488 has 672 divisors, whose sum is σ = 1745228302272. Its totient is φ = 123155251200.

The previous prime is 478912831451. The next prime is 478912831567. The reversal of 478912831488 is 884138219874.

478912831488 is a `hidden beast` number, since 4 + 78 + 9 + 1 + 2 + 83 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275078298 + ... + 275080038.

It is an arithmetic number, because the mean of its divisors is an integer number (2597065926).

Almost surely, 2^478912831488 is an apocalyptic number.

478912831488 is a gapful number since it is divisible by the number (48) 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 478912831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872614151136).

478912831488 is an abundant number, since it is smaller than the sum of its proper divisors (1266315470784).

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

478912831488 is a wasteful number, since it uses less digits than its factorization.

478912831488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1807 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 478912831488 in words is "four hundred seventy-eight billion, nine hundred twelve million, eight hundred thirty-one thousand, four hundred eighty-eight".