405045200 has 60 divisors (see below), whose sum is σ = 1112146080. Its totient is φ = 138871680.

The previous prime is 405045181. The next prime is 405045209. The reversal of 405045200 is 2540504.

It is a happy number.

It is a super-2 number, since 2×405045200² = 328123228086080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405045209) 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, 69530 + ... + 75129.

It is an arithmetic number, because the mean of its divisors is an integer number (18535768).

Almost surely, 2^405045200 is an apocalyptic number.

405045200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405045200 is an abundant number, since it is smaller than the sum of its proper divisors (707100880).

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

405045200 is a wasteful number, since it uses less digits than its factorization.

405045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144684 (or 144673 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 405045200 is about 20125.7347691954. The cubic root of 405045200 is about 739.8911454199.

Adding to 405045200 its reverse (2540504), we get a palindrome (407585704).

The spelling of 405045200 in words is "four hundred five million, forty-five thousand, two hundred".