405032100 has 144 divisors (see below), whose sum is σ = 1289084160. Its totient is φ = 97372800.

The previous prime is 405032099. The next prime is 405032107. The reversal of 405032100 is 1230504.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 405032100.

It is not an unprimeable number, because it can be changed into a prime (405032107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458259 + ... + 459141.

Almost surely, 2^405032100 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 405032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644542080).

405032100 is an abundant number, since it is smaller than the sum of its proper divisors (884052060).

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

405032100 is a wasteful number, since it uses less digits than its factorization.

405032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 405032100 is about 20125.4093126078. The cubic root of 405032100 is about 739.8831687970.

Adding to 405032100 its reverse (1230504), we get a palindrome (406262604).

The spelling of 405032100 in words is "four hundred five million, thirty-two thousand, one hundred".