408451072 has 72 divisors (see below), whose sum is σ = 844126920. Its totient is φ = 197550080.

The previous prime is 408451067. The next prime is 408451073. The reversal of 408451072 is 270154804.

It is a pancake number, because a pancake can be divided into 408451072 parts by 28581 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408451073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5752797 + ... + 5752867.

It is an arithmetic number, because the mean of its divisors is an integer number (11723985).

Almost surely, 2^408451072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422063460).

408451072 is an abundant number, since it is smaller than the sum of its proper divisors (435675848).

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

408451072 is an frugal number, since it uses more digits than its factorization.

408451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 408451072 is about 20210.1724881308. The cubic root of 408451072 is about 741.9591814280.

The spelling of 408451072 in words is "four hundred eight million, four hundred fifty-one thousand, seventy-two".