405140400 has 480 divisors, whose sum is σ = 1727032320. Its totient is φ = 88197120.

The previous prime is 405140383. The next prime is 405140443. The reversal of 405140400 is 4041504.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738684 + ... + 1738916.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^405140400 is an apocalyptic number.

405140400 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 405140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

405140400 is an abundant number, since it is smaller than the sum of its proper divisors (1321891920).

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

405140400 is a wasteful number, since it uses less digits than its factorization.

405140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

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

The square root of 405140400 is about 20128.0997612790. The cubic root of 405140400 is about 739.9491077735.

Adding to 405140400 its reverse (4041504), we get a palindrome (409181904).

The spelling of 405140400 in words is "four hundred five million, one hundred forty thousand, four hundred".