405798624 has 288 divisors, whose sum is σ = 1490711040. Its totient is φ = 101606400.

The previous prime is 405798623. The next prime is 405798643. The reversal of 405798624 is 426897504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 405798624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405798623) 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 47 ways as a sum of consecutive naturals, for example, 642789 + ... + 643419.

It is an arithmetic number, because the mean of its divisors is an integer number (5176080).

Almost surely, 2^405798624 is an apocalyptic number.

405798624 is a gapful number since it is divisible by the number (44) 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 405798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

405798624 is an abundant number, since it is smaller than the sum of its proper divisors (1084912416).

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

405798624 is a wasteful number, since it uses less digits than its factorization.

405798624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 405798624 is about 20144.4439982840. The cubic root of 405798624 is about 740.3496180913.

The spelling of 405798624 in words is "four hundred five million, seven hundred ninety-eight thousand, six hundred twenty-four".