405270432 has 192 divisors, whose sum is σ = 1365154560. Its totient is φ = 114573312.

The previous prime is 405270427. The next prime is 405270449. The reversal of 405270432 is 234072504.

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

It is a junction number, because it is equal to n+sod(n) for n = 405270396 and 405270405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683128 + ... + 683720.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2^405270432 is an apocalyptic number.

405270432 is a gapful number since it is divisible by the number (42) 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 405270432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682577280).

405270432 is an abundant number, since it is smaller than the sum of its proper divisors (959884128).

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

405270432 is a wasteful number, since it uses less digits than its factorization.

405270432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 405270432 is about 20131.3296133167. The cubic root of 405270432 is about 740.0282628602.

The spelling of 405270432 in words is "four hundred five million, two hundred seventy thousand, four hundred thirty-two".