405966960 has 360 divisors, whose sum is σ = 1634065056. Its totient is φ = 89994240.

The previous prime is 405966937. The next prime is 405966961. The reversal of 405966960 is 69669504.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×405966960² = 329618345223283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405966961) 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, 1305205 + ... + 1305515.

Almost surely, 2^405966960 is an apocalyptic number.

405966960 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 405966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817032528).

405966960 is an abundant number, since it is smaller than the sum of its proper divisors (1228098096).

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

405966960 is a wasteful number, since it uses less digits than its factorization.

405966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 405966960 is about 20148.6217890952. The cubic root of 405966960 is about 740.4519761387.

The spelling of 405966960 in words is "four hundred five million, nine hundred sixty-six thousand, nine hundred sixty".