405135600 has 120 divisors (see below), whose sum is σ = 1317415680. Its totient is φ = 106402560.

The previous prime is 405135589. The next prime is 405135611. The reversal of 405135600 is 6531504.

It is an interprime number because it is at equal distance from previous prime (405135589) and next prime (405135611).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77881 + ... + 82919.

It is an arithmetic number, because the mean of its divisors is an integer number (10978464).

Almost surely, 2^405135600 is an apocalyptic number.

405135600 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 405135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658707840).

405135600 is an abundant number, since it is smaller than the sum of its proper divisors (912280080).

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

405135600 is a wasteful number, since it uses less digits than its factorization.

405135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 405135600 is about 20127.9805246329. The cubic root of 405135600 is about 739.9461855193.

The spelling of 405135600 in words is "four hundred five million, one hundred thirty-five thousand, six hundred".