405241440 has 48 divisors (see below), whose sum is σ = 1276512048. Its totient is φ = 108064256.

The previous prime is 405241423. The next prime is 405241477. The reversal of 405241440 is 44142504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 405241440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421647 + ... + 422606.

It is an arithmetic number, because the mean of its divisors is an integer number (26594001).

Almost surely, 2^405241440 is an apocalyptic number.

405241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405241440 is an abundant number, since it is smaller than the sum of its proper divisors (871270608).

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

405241440 is a wasteful number, since it uses less digits than its factorization.

405241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844271 (or 844263 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 405241440 is about 20130.6095287748. The cubic root of 405241440 is about 740.0106158691.

Adding to 405241440 its reverse (44142504), we get a palindrome (449383944).

The spelling of 405241440 in words is "four hundred five million, two hundred forty-one thousand, four hundred forty".