405855720 has 192 divisors, whose sum is σ = 1396362240. Its totient is φ = 102067200.

The previous prime is 405855707. The next prime is 405855727. The reversal of 405855720 is 27558504.

It is a happy number.

405855720 is a `hidden beast` number, since 4 + 0 + 5 + 85 + 572 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405855727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457117 + ... + 458003.

It is an arithmetic number, because the mean of its divisors is an integer number (7272720).

Almost surely, 2^405855720 is an apocalyptic number.

405855720 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 405855720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698181120).

405855720 is an abundant number, since it is smaller than the sum of its proper divisors (990506520).

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

405855720 is a wasteful number, since it uses less digits than its factorization.

405855720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 405855720 is about 20145.8611133900. The cubic root of 405855720 is about 740.3843389413.

The spelling of 405855720 in words is "four hundred five million, eight hundred fifty-five thousand, seven hundred twenty".