476232099840 has 1152 divisors, whose sum is σ = 2060577792000. Its totient is φ = 103052279808.

The previous prime is 476232099823. The next prime is 476232099841. The reversal of 476232099840 is 48990232674.

476232099840 is a `hidden beast` number, since 4 + 7 + 623 + 2 + 0 + 9 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×476232099840³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (476232099841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330945841 + ... + 330947279.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696000).

Almost surely, 2^476232099840 is an apocalyptic number.

476232099840 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 476232099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896000).

476232099840 is an abundant number, since it is smaller than the sum of its proper divisors (1584345692160).

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

476232099840 is a wasteful number, since it uses less digits than its factorization.

476232099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 476232099840 in words is "four hundred seventy-six billion, two hundred thirty-two million, ninety-nine thousand, eight hundred forty".