416727042 has 32 divisors (see below), whose sum is σ = 865641600. Its totient is φ = 133582848.

The previous prime is 416727037. The next prime is 416727043. The reversal of 416727042 is 240727614.

It is a super-2 number, since 2×416727042² = 347322855068139528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416726994 and 416727012.

It is not an unprimeable number, because it can be changed into a prime (416727043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40059 + ... + 49377.

It is an arithmetic number, because the mean of its divisors is an integer number (27051300).

Almost surely, 2^416727042 is an apocalyptic number.

416727042 is an abundant number, since it is smaller than the sum of its proper divisors (448914558).

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

416727042 is a wasteful number, since it uses less digits than its factorization.

416727042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 416727042 is about 20413.8933572212. The cubic root of 416727042 is about 746.9368648579.

The spelling of 416727042 in words is "four hundred sixteen million, seven hundred twenty-seven thousand, forty-two".