404232882480 has 640 divisors, whose sum is σ = 1657453916160. Its totient is φ = 88624005120.

The previous prime is 404232882479. The next prime is 404232882481. The reversal of 404232882480 is 84288232404.

404232882480 is a `hidden beast` number, since 40 + 42 + 328 + 8 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (404232882479) and next prime (404232882481).

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

It is not an unprimeable number, because it can be changed into a prime (404232882481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39715152 + ... + 39725328.

It is an arithmetic number, because the mean of its divisors is an integer number (2589771744).

Almost surely, 2^404232882480 is an apocalyptic number.

404232882480 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 404232882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828726958080).

404232882480 is an abundant number, since it is smaller than the sum of its proper divisors (1253221033680).

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

404232882480 is a wasteful number, since it uses less digits than its factorization.

404232882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 404232882480 in words is "four hundred four billion, two hundred thirty-two million, eight hundred eighty-two thousand, four hundred eighty".