405504000 has 384 divisors, whose sum is σ = 1594859760. Its totient is φ = 98304000.

The previous prime is 405503993. The next prime is 405504019. The reversal of 405504000 is 405504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36863995 + ... + 36864005.

Almost surely, 2^405504000 is an apocalyptic number.

405504000 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 405504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797429880).

405504000 is an abundant number, since it is smaller than the sum of its proper divisors (1189355760).

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

405504000 is an equidigital number, since it uses as much as digits as its factorization.

405504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 405504000 is about 20137.1298848669. The cubic root of 405504000 is about 740.1704014692.

Adding to 405504000 its reverse (405504), we get a palindrome (405909504).

405504000 divided by its reverse (405504) gives a cube (1000 = 10³).

It can be divided in two parts, 405 and 504000, that added together give a palindrome (504405).

The spelling of 405504000 in words is "four hundred five million, five hundred four thousand".