405495720 has 320 divisors, whose sum is σ = 1641340800. Its totient is φ = 87713280.

The previous prime is 405495707. The next prime is 405495749. The reversal of 405495720 is 27594504.

405495720 is a `hidden beast` number, since 40 + 5 + 49 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430450 + ... + 431390.

It is an arithmetic number, because the mean of its divisors is an integer number (5129190).

Almost surely, 2^405495720 is an apocalyptic number.

405495720 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 405495720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820670400).

405495720 is an abundant number, since it is smaller than the sum of its proper divisors (1235845080).

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

405495720 is a wasteful number, since it uses less digits than its factorization.

405495720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 405495720 is about 20136.9242934466. The cubic root of 405495720 is about 740.1653635801.

The spelling of 405495720 in words is "four hundred five million, four hundred ninety-five thousand, seven hundred twenty".