405664896 has 384 divisors, whose sum is σ = 1433548800. Its totient is φ = 99201024.

The previous prime is 405664891. The next prime is 405664901. The reversal of 405664896 is 698466504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405664891) and next prime (405664901).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (405664891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8631145 + ... + 8631191.

It is an arithmetic number, because the mean of its divisors is an integer number (3733200).

Almost surely, 2^405664896 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 405664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716774400).

405664896 is an abundant number, since it is smaller than the sum of its proper divisors (1027883904).

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

405664896 is a wasteful number, since it uses less digits than its factorization.

405664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 405664896 is about 20141.1244969093. The cubic root of 405664896 is about 740.2682835366.

It can be divided in two parts, 4056 and 64896, that multiplied together give a square (263218176 = 16224²).

The spelling of 405664896 in words is "four hundred five million, six hundred sixty-four thousand, eight hundred ninety-six".