405680096 has 48 divisors (see below), whose sum is σ = 850953600. Its totient is φ = 189825408.

The previous prime is 405680087. The next prime is 405680113. The reversal of 405680096 is 690086504.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46445 + ... + 54483.

It is an arithmetic number, because the mean of its divisors is an integer number (17728200).

Almost surely, 2^405680096 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 405680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425476800).

405680096 is an abundant number, since it is smaller than the sum of its proper divisors (445273504).

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

405680096 is a wasteful number, since it uses less digits than its factorization.

405680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 405680096 is about 20141.5018307970. The cubic root of 405680096 is about 740.2775292116.

The spelling of 405680096 in words is "four hundred five million, six hundred eighty thousand, ninety-six".