405000000 has 280 divisors, whose sum is σ = 1500679752. Its totient is φ = 108000000.

The previous prime is 404999983. The next prime is 405000041. The reversal of 405000000 is 504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 400640256 + 4359744 = 20016^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 80999998 + ... + 81000002.

Almost surely, 2^405000000 is an apocalyptic number.

405000000 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 405000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750339876).

405000000 is an abundant number, since it is smaller than the sum of its proper divisors (1095679752).

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

405000000 is an frugal number, since it uses more digits than its factorization.

405000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 405000000 is about 20124.6117974981. The cubic root of 405000000 is about 739.8636222991.

Multiplying 405000000 by its product of nonzero digits (20), we get a 4-th power (8100000000 = 300⁴).

405000000 divided by its product of nonzero digits (20) gives a square (20250000 = 4500²).

Adding to 405000000 its reverse (504), we get a palindrome (405000504).

The spelling of 405000000 in words is "four hundred five million", and thus it is an aban number.