405100000 has 72 divisors (see below), whose sum is σ = 997108056. Its totient is φ = 162000000.

The previous prime is 405099983. The next prime is 405100001. The reversal of 405100000 is 1504.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 405100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405100001) 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, 97975 + ... + 102025.

It is an arithmetic number, because the mean of its divisors is an integer number (13848723).

Almost surely, 2^405100000 is an apocalyptic number.

405100000 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 405100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498554028).

405100000 is an abundant number, since it is smaller than the sum of its proper divisors (592008056).

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

405100000 is an frugal number, since it uses more digits than its factorization.

405100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 405100000 is about 20127.0961641266. The cubic root of 405100000 is about 739.9245114133.

Adding to 405100000 its reverse (1504), we get a palindrome (405101504).

The spelling of 405100000 in words is "four hundred five million, one hundred thousand".