414300042 has 32 divisors (see below), whose sum is σ = 991488960. Its totient is φ = 127476720.

The previous prime is 414300037. The next prime is 414300067. The reversal of 414300042 is 240003414.

It is a super-3 number, since 3×414300042³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414299988 and 414300024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294384 + ... + 295787.

It is an arithmetic number, because the mean of its divisors is an integer number (30984030).

Almost surely, 2^414300042 is an apocalyptic number.

414300042 is an abundant number, since it is smaller than the sum of its proper divisors (577188918).

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

414300042 is a wasteful number, since it uses less digits than its factorization.

414300042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590195 (or 590189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 414300042 is about 20354.3617438622. The cubic root of 414300042 is about 745.4839982153.

Adding to 414300042 its reverse (240003414), we get a palindrome (654303456).

The spelling of 414300042 in words is "four hundred fourteen million, three hundred thousand, forty-two".