405201000 has 128 divisors (see below), whose sum is σ = 1305308160. Its totient is φ = 104544000.

The previous prime is 405200987. The next prime is 405201019. The reversal of 405201000 is 102504.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90822 + ... + 95178.

It is an arithmetic number, because the mean of its divisors is an integer number (10197720).

Almost surely, 2^405201000 is an apocalyptic number.

405201000 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 405201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652654080).

405201000 is an abundant number, since it is smaller than the sum of its proper divisors (900107160).

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

405201000 is a wasteful number, since it uses less digits than its factorization.

405201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 405201000 is about 20129.6050631899. The cubic root of 405201000 is about 739.9859992481.

Adding to 405201000 its reverse (102504), we get a palindrome (405303504).

The spelling of 405201000 in words is "four hundred five million, two hundred one thousand".