408872916 has 36 divisors (see below), whose sum is σ = 1094337972. Its totient is φ = 128273664.

The previous prime is 408872911. The next prime is 408872917. The reversal of 408872916 is 619278804.

It can be written as a sum of positive squares in 2 ways, for example, as 182250000 + 226622916 = 13500^2 + 15054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×408872916² = 334354122876686112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408872911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333435 + ... + 334658.

It is an arithmetic number, because the mean of its divisors is an integer number (30398277).

Almost surely, 2^408872916 is an apocalyptic number.

It is an amenable number.

408872916 is an abundant number, since it is smaller than the sum of its proper divisors (685465056).

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

408872916 is a wasteful number, since it uses less digits than its factorization.

408872916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668120 (or 668115 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 408872916 is about 20220.6062223663. The cubic root of 408872916 is about 742.2145227740.

The spelling of 408872916 in words is "four hundred eight million, eight hundred seventy-two thousand, nine hundred sixteen".