407307042 has 20 divisors (see below), whose sum is σ = 912669846. Its totient is φ = 135768960.

The previous prime is 407307041. The next prime is 407307053. The reversal of 407307042 is 240703704.

It can be written as a sum of positive squares in only one way, i.e., 307686681 + 99620361 = 17541^2 + 9981^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 407306997 and 407307015.

It is not an unprimeable number, because it can be changed into a prime (407307041) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1256959 + ... + 1257282.

Almost surely, 2^407307042 is an apocalyptic number.

407307042 is an abundant number, since it is smaller than the sum of its proper divisors (505362804).

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

407307042 is a wasteful number, since it uses less digits than its factorization.

407307042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514255 (or 2514246 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 407307042 is about 20181.8493206148. The cubic root of 407307042 is about 741.2658162201.

The spelling of 407307042 in words is "four hundred seven million, three hundred seven thousand, forty-two".