478892113920 has 780 divisors, whose sum is σ = 1880681363064. Its totient is φ = 116095057920.

The previous prime is 478892113877. The next prime is 478892113943. The reversal of 478892113920 is 29311298874.

478892113920 is a `hidden beast` number, since 478 + 89 + 2 + 1 + 1 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 43535646715 + ... + 43535646725.

Almost surely, 2^478892113920 is an apocalyptic number.

478892113920 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 478892113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940340681532).

478892113920 is an abundant number, since it is smaller than the sum of its proper divisors (1401789249144).

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

478892113920 is an frugal number, since it uses more digits than its factorization.

478892113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 478892113920 in words is "four hundred seventy-eight billion, eight hundred ninety-two million, one hundred thirteen thousand, nine hundred twenty".