405221376 has 156 divisors (see below), whose sum is σ = 1258727352. Its totient is φ = 115605504.

The previous prime is 405221371. The next prime is 405221387. The reversal of 405221376 is 673122504.

It is not an unprimeable number, because it can be changed into a prime (405221371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601776 + ... + 602448.

Almost surely, 2^405221376 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 405221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629363676).

405221376 is an abundant number, since it is smaller than the sum of its proper divisors (853505976).

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

405221376 is an equidigital number, since it uses as much as digits as its factorization.

405221376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 405221376 is about 20130.1111770402. Note that the first 4 decimals coincide. The cubic root of 405221376 is about 739.9984027236.

The spelling of 405221376 in words is "four hundred five million, two hundred twenty-one thousand, three hundred seventy-six".