404493455520 has 1728 divisors, whose sum is σ = 1820681815680. Its totient is φ = 81494138880.

The previous prime is 404493455501. The next prime is 404493455537. The reversal of 404493455520 is 25554394404.

404493455520 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 93 + 4 + 5 + 552 + 0 = 666.

It is a super-2 number, since 2×404493455520² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5541006204 + ... + 5541006276.

It is an arithmetic number, because the mean of its divisors is an integer number (1053635310).

Almost surely, 2^404493455520 is an apocalyptic number.

404493455520 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 404493455520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910340907840).

404493455520 is an abundant number, since it is smaller than the sum of its proper divisors (1416188360160).

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

404493455520 is a wasteful number, since it uses less digits than its factorization.

404493455520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 404493455520 in words is "four hundred four billion, four hundred ninety-three million, four hundred fifty-five thousand, five hundred twenty".