256471488000 has 1920 divisors, whose sum is σ = 1192007456640. Its totient is φ = 53880422400.

The previous prime is 256471487999. The next prime is 256471488029. The reversal of 256471488000 is 884174652.

256471488000 is a `hidden beast` number, since 2 + 564 + 7 + 1 + 4 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 1100735884 + ... + 1100736116.

It is an arithmetic number, because the mean of its divisors is an integer number (620837217).

Almost surely, 2^256471488000 is an apocalyptic number.

256471488000 is a gapful number since it is divisible by the number (20) 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 256471488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596003728320).

256471488000 is an abundant number, since it is smaller than the sum of its proper divisors (935535968640).

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

256471488000 is a wasteful number, since it uses less digits than its factorization.

256471488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 256471488000 in words is "two hundred fifty-six billion, four hundred seventy-one million, four hundred eighty-eight thousand".