407142180 has 96 divisors (see below), whose sum is σ = 1341204480. Its totient is φ = 102182400.

The previous prime is 407142173. The next prime is 407142193. The reversal of 407142180 is 81241704.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12996 + ... + 31355.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^407142180 is an apocalyptic number.

It is an amenable number.

407142180 is an abundant number, since it is smaller than the sum of its proper divisors (934062300).

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

407142180 is a wasteful number, since it uses less digits than its factorization.

407142180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44386 (or 44378 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 407142180 is about 20177.7644946114. The cubic root of 407142180 is about 741.1657908959.

Adding to 407142180 its reverse (81241704), we get a palindrome (488383884).

The spelling of 407142180 in words is "four hundred seven million, one hundred forty-two thousand, one hundred eighty".