405811296 has 240 divisors, whose sum is σ = 1336281408. Its totient is φ = 119750400.

The previous prime is 405811283. The next prime is 405811313. The reversal of 405811296 is 692118504.

It is a super-2 number, since 2×405811296² = 329365615922399232, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 405811296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1225851 + ... + 1226181.

Almost surely, 2^405811296 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 405811296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668140704).

405811296 is an abundant number, since it is smaller than the sum of its proper divisors (930470112).

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

405811296 is a wasteful number, since it uses less digits than its factorization.

405811296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 405811296 is about 20144.7585242415. The cubic root of 405811296 is about 740.3573243871.

The spelling of 405811296 in words is "four hundred five million, eight hundred eleven thousand, two hundred ninety-six".