408126672 has 30 divisors (see below), whose sum is σ = 1142188242. Its totient is φ = 136042176.

The previous prime is 408126671. The next prime is 408126679. The reversal of 408126672 is 276621804.

It can be written as a sum of positive squares in only one way, i.e., 398241936 + 9884736 = 19956^2 + 3144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408126671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1416963 + ... + 1417250.

Almost surely, 2^408126672 is an apocalyptic number.

It is an amenable number.

408126672 is an abundant number, since it is smaller than the sum of its proper divisors (734061570).

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

408126672 is a wasteful number, since it uses less digits than its factorization.

408126672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834227 (or 2834218 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 408126672 is about 20202.1452326232. The cubic root of 408126672 is about 741.7627031358.

The spelling of 408126672 in words is "four hundred eight million, one hundred twenty-six thousand, six hundred seventy-two".