405320400 has 90 divisors (see below), whose sum is σ = 1406586870. Its totient is φ = 108084480.

The previous prime is 405320393. The next prime is 405320401. The reversal of 405320400 is 4023504.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37601424 + 367718976 = 6132^2 + 19176^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (405320401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 52695 + ... + 59894.

It is an arithmetic number, because the mean of its divisors is an integer number (15628743).

Almost surely, 2^405320400 is an apocalyptic number.

405320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405320400 is an abundant number, since it is smaller than the sum of its proper divisors (1001266470).

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

405320400 is a wasteful number, since it uses less digits than its factorization.

405320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112613 (or 112599 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 405320400 is about 20132.5706257298. The cubic root of 405320400 is about 740.0586756493.

Adding to 405320400 its reverse (4023504), we get a palindrome (409343904).

The spelling of 405320400 in words is "four hundred five million, three hundred twenty thousand, four hundred".