405142200 has 72 divisors (see below), whose sum is σ = 1360608600. Its totient is φ = 108037440.

The previous prime is 405142169. The next prime is 405142207. The reversal of 405142200 is 2241504.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405142207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110740 + ... + 114339.

Almost surely, 2^405142200 is an apocalyptic number.

405142200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405142200 is an abundant number, since it is smaller than the sum of its proper divisors (955466400).

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

405142200 is a wasteful number, since it uses less digits than its factorization.

405142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225101 (or 225089 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 405142200 is about 20128.1444748392. The cubic root of 405142200 is about 739.9502036129.

Adding to 405142200 its reverse (2241504), we get a palindrome (407383704).

The spelling of 405142200 in words is "four hundred five million, one hundred forty-two thousand, two hundred".