405427776 has 224 divisors, whose sum is σ = 1242608640. Its totient is φ = 115623936.

The previous prime is 405427769. The next prime is 405427807. The reversal of 405427776 is 677724504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3936141 + ... + 3936243.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2^405427776 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 405427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621304320).

405427776 is an abundant number, since it is smaller than the sum of its proper divisors (837180864).

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

405427776 is a wasteful number, since it uses less digits than its factorization.

405427776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 405427776 is about 20135.2371726782. The cubic root of 405427776 is about 740.1240210931.

The spelling of 405427776 in words is "four hundred five million, four hundred twenty-seven thousand, seven hundred seventy-six".