476941248000 has 1920 divisors, whose sum is σ = 2119124367360. Its totient is φ = 100727193600.

The previous prime is 476941247989. The next prime is 476941248001. The reversal of 476941248000 is 842149674.

476941248000 is a `hidden beast` number, since 4 + 76 + 94 + 12 + 480 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476941248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3431231931 + ... + 3431232069.

It is an arithmetic number, because the mean of its divisors is an integer number (1103710608).

Almost surely, 2^476941248000 is an apocalyptic number.

476941248000 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 476941248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059562183680).

476941248000 is an abundant number, since it is smaller than the sum of its proper divisors (1642183119360).

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

476941248000 is a wasteful number, since it uses less digits than its factorization.

476941248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 476941248000 in words is "four hundred seventy-six billion, nine hundred forty-one million, two hundred forty-eight thousand".