405765360 has 480 divisors, whose sum is σ = 1832882688. Its totient is φ = 77690880.

The previous prime is 405765331. The next prime is 405765377. The reversal of 405765360 is 63567504.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720439 + ... + 721001.

Almost surely, 2^405765360 is an apocalyptic number.

405765360 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 405765360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916441344).

405765360 is an abundant number, since it is smaller than the sum of its proper divisors (1427117328).

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

405765360 is a wasteful number, since it uses less digits than its factorization.

405765360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 405765360 is about 20143.6183442797. The cubic root of 405765360 is about 740.3293883015.

The spelling of 405765360 in words is "four hundred five million, seven hundred sixty-five thousand, three hundred sixty".