405212160 has 352 divisors, whose sum is σ = 1433751552. Its totient is φ = 97320960.

The previous prime is 405212147. The next prime is 405212167. The reversal of 405212160 is 61212504.

It is a super-2 number, since 2×405212160² = 328393789223731200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405212167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10951662 + ... + 10951698.

Almost surely, 2^405212160 is an apocalyptic number.

405212160 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 405212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716875776).

405212160 is an abundant number, since it is smaller than the sum of its proper divisors (1028539392).

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

405212160 is a wasteful number, since it uses less digits than its factorization.

405212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 405212160 is about 20129.8822649314. The cubic root of 405212160 is about 739.9927927226.

Adding to 405212160 its reverse (61212504), we get a palindrome (466424664).

The spelling of 405212160 in words is "four hundred five million, two hundred twelve thousand, one hundred sixty".