404956060920 has 192 divisors, whose sum is σ = 1400532120000. Its totient is φ = 101124993024.

The previous prime is 404956060913. The next prime is 404956060931. The reversal of 404956060920 is 29060659404.

404956060920 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 560 + 60 + 9 + 20 = 666.

It is a super-2 number, since 2×404956060920² (a number of 24 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051626 + ... + 1384134.

It is an arithmetic number, because the mean of its divisors is an integer number (7294438125).

Almost surely, 2^404956060920 is an apocalyptic number.

404956060920 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 404956060920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700266060000).

404956060920 is an abundant number, since it is smaller than the sum of its proper divisors (995576059080).

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

404956060920 is a wasteful number, since it uses less digits than its factorization.

404956060920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332742 (or 332735 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 404956060920 in words is "four hundred four billion, nine hundred fifty-six million, sixty thousand, nine hundred twenty".