405240192 has 192 divisors, whose sum is σ = 1391871600. Its totient is φ = 115734528.

The previous prime is 405240191. The next prime is 405240193. The reversal of 405240192 is 291042504.

405240192 is a `hidden beast` number, since 405 + 240 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (405240191) and next prime (405240193).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×405240192² = 328439226424393728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405240191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168148 + ... + 170540.

Almost surely, 2^405240192 is an apocalyptic number.

405240192 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 405240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695935800).

405240192 is an abundant number, since it is smaller than the sum of its proper divisors (986631408).

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

405240192 is a wasteful number, since it uses less digits than its factorization.

405240192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 405240192 is about 20130.5785311799. The cubic root of 405240192 is about 740.0098562116.

Adding to 405240192 its reverse (291042504), we get a palindrome (696282696).

It can be divided in two parts, 4052 and 40192, that added together give a palindrome (44244).

The spelling of 405240192 in words is "four hundred five million, two hundred forty thousand, one hundred ninety-two".