405141600 has 144 divisors (see below), whose sum is σ = 1364443920. Its totient is φ = 104294400.

The previous prime is 405141599. The next prime is 405141643. The reversal of 405141600 is 6141504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66690 + ... + 72510.

It is an arithmetic number, because the mean of its divisors is an integer number (9475305).

Almost surely, 2^405141600 is an apocalyptic number.

405141600 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 405141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682221960).

405141600 is an abundant number, since it is smaller than the sum of its proper divisors (959302320).

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

405141600 is a wasteful number, since it uses less digits than its factorization.

405141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 405141600 is about 20128.1295703302. The cubic root of 405141600 is about 739.9498383334.

The spelling of 405141600 in words is "four hundred five million, one hundred forty-one thousand, six hundred".