405097056 has 432 divisors, whose sum is σ = 1510760160. Its totient is φ = 100638720.

The previous prime is 405097051. The next prime is 405097061. The reversal of 405097056 is 650790504.

It is an interprime number because it is at equal distance from previous prime (405097051) and next prime (405097061).

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

It is a self number, because there is not a number n which added to its sum of digits gives 405097056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405097051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9880396 + ... + 9880436.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^405097056 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 405097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755380080).

405097056 is an abundant number, since it is smaller than the sum of its proper divisors (1105663104).

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

405097056 is a wasteful number, since it uses less digits than its factorization.

405097056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 405097056 is about 20127.0230287542. The cubic root of 405097056 is about 739.9227189809.

The spelling of 405097056 in words is "four hundred five million, ninety-seven thousand, fifty-six".