405485920 has 96 divisors (see below), whose sum is σ = 1118251008. Its totient is φ = 136048128.

The previous prime is 405485911. The next prime is 405485957. The reversal of 405485920 is 29584504.

It is a self number, because there is not a number n which added to its sum of digits gives 405485920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48789 + ... + 56491.

It is an arithmetic number, because the mean of its divisors is an integer number (11648448).

Almost surely, 2^405485920 is an apocalyptic number.

405485920 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 405485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559125504).

405485920 is an abundant number, since it is smaller than the sum of its proper divisors (712765088).

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

405485920 is a wasteful number, since it uses less digits than its factorization.

405485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 405485920 is about 20136.6809578937. The cubic root of 405485920 is about 740.1594007724.

The spelling of 405485920 in words is "four hundred five million, four hundred eighty-five thousand, nine hundred twenty".