405135000 has 160 divisors (see below), whose sum is σ = 1406737200. Its totient is φ = 108000000.

The previous prime is 405134999. The next prime is 405135013. The reversal of 405135000 is 531504.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133500 + ... + 136500.

Almost surely, 2^405135000 is an apocalyptic number.

405135000 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 405135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703368600).

405135000 is an abundant number, since it is smaller than the sum of its proper divisors (1001602200).

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

405135000 is a wasteful number, since it uses less digits than its factorization.

405135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 405135000 is about 20127.9656200024. The cubic root of 405135000 is about 739.9458202359.

Adding to 405135000 its reverse (531504), we get a palindrome (405666504).

The spelling of 405135000 in words is "four hundred five million, one hundred thirty-five thousand".