405468360 has 384 divisors, whose sum is σ = 1607299200. Its totient is φ = 87367680.

The previous prime is 405468347. The next prime is 405468383. The reversal of 405468360 is 63864504.

It is a super-2 number, since 2×405468360² = 328809181922179200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1278922 + ... + 1279238.

It is an arithmetic number, because the mean of its divisors is an integer number (4185675).

Almost surely, 2^405468360 is an apocalyptic number.

405468360 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 405468360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803649600).

405468360 is an abundant number, since it is smaller than the sum of its proper divisors (1201830840).

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

405468360 is a wasteful number, since it uses less digits than its factorization.

405468360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 405468360 is about 20136.2449329561. The cubic root of 405468360 is about 740.1487161542.

The spelling of 405468360 in words is "four hundred five million, four hundred sixty-eight thousand, three hundred sixty".