405451002400 has 144 divisors (see below), whose sum is σ = 1018026092160. Its totient is φ = 157569408000.

The previous prime is 405451002391. The next prime is 405451002401. The reversal of 405451002400 is 4200154504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (405451002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21272875 + ... + 21291925.

It is an arithmetic number, because the mean of its divisors is an integer number (7069625640).

Almost surely, 2^405451002400 is an apocalyptic number.

405451002400 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 405451002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509013046080).

405451002400 is an abundant number, since it is smaller than the sum of its proper divisors (612575089760).

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

405451002400 is a wasteful number, since it uses less digits than its factorization.

405451002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19827 (or 19814 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 405451002400 its reverse (4200154504), we get a palindrome (409651156904).

The spelling of 405451002400 in words is "four hundred five billion, four hundred fifty-one million, two thousand, four hundred".