405242032 has 120 divisors (see below), whose sum is σ = 927249680. Its totient is φ = 170035200.

The previous prime is 405242029. The next prime is 405242059. The reversal of 405242032 is 230242504.

It is a super-2 number, since 2×405242032² = 328442208998978048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405241994 and 405242012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6643282 + ... + 6643342.

Almost surely, 2^405242032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463624840).

405242032 is an abundant number, since it is smaller than the sum of its proper divisors (522007648).

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

405242032 is a wasteful number, since it uses less digits than its factorization.

405242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 405242032 is about 20130.6242327455. The cubic root of 405242032 is about 740.0109762190.

Adding to 405242032 its reverse (230242504), we get a palindrome (635484536).

The spelling of 405242032 in words is "four hundred five million, two hundred forty-two thousand, thirty-two".