405664000 has 144 divisors (see below), whose sum is σ = 1155563136. Its totient is φ = 139008000.

The previous prime is 405663997. The next prime is 405664019. The reversal of 405664000 is 466504.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223095 + ... + 224905.

It is an arithmetic number, because the mean of its divisors is an integer number (8024744).

Almost surely, 2^405664000 is an apocalyptic number.

405664000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577781568).

405664000 is an abundant number, since it is smaller than the sum of its proper divisors (749899136).

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

405664000 is an equidigital number, since it uses as much as digits as its factorization.

405664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 405664000 is about 20141.1022538490. The cubic root of 405664000 is about 740.2677385211.

The spelling of 405664000 in words is "four hundred five million, six hundred sixty-four thousand".