405419742 has 192 divisors, whose sum is σ = 1144765440. Its totient is φ = 104696064.

The previous prime is 405419731. The next prime is 405419743. The reversal of 405419742 is 247914504.

It is a happy number.

405419742 is a `hidden beast` number, since 40 + 541 + 9 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405419697 and 405419706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405419743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3936063 + ... + 3936165.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2^405419742 is an apocalyptic number.

405419742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 405419742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572382720).

405419742 is an abundant number, since it is smaller than the sum of its proper divisors (739345698).

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

405419742 is a wasteful number, since it uses less digits than its factorization.

405419742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 405419742 is about 20135.0376706874. The cubic root of 405419742 is about 740.1191322687.

The spelling of 405419742 in words is "four hundred five million, four hundred nineteen thousand, seven hundred forty-two".