405285120 has 216 divisors, whose sum is σ = 1455295296. Its totient is φ = 107993088.

The previous prime is 405285091. The next prime is 405285131. The reversal of 405285120 is 21582504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310389 + ... + 311691.

Almost surely, 2^405285120 is an apocalyptic number.

405285120 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 405285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727647648).

405285120 is an abundant number, since it is smaller than the sum of its proper divisors (1050010176).

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

405285120 is an equidigital number, since it uses as much as digits as its factorization.

405285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 405285120 is about 20131.6944145295. The cubic root of 405285120 is about 740.0372029020.

The spelling of 405285120 in words is "four hundred five million, two hundred eighty-five thousand, one hundred twenty".