405600000 has 324 divisors, whose sum is σ = 1461047112. Its totient is φ = 99840000.

The previous prime is 405599981. The next prime is 405600007. The reversal of 405600000 is 6504.

It is a super-2 number, since 2×405600000² = 329022720000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405600007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31199994 + ... + 31200006.

Almost surely, 2^405600000 is an apocalyptic number.

405600000 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 405600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730523556).

405600000 is an abundant number, since it is smaller than the sum of its proper divisors (1055447112).

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

405600000 is an frugal number, since it uses more digits than its factorization.

405600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 405600000 is about 20139.5134002786. The cubic root of 405600000 is about 740.2288067722.

Multiplying 405600000 by its sum of digits (15), we get a square (6084000000 = 78000²).

405600000 divided by its sum of digits (15) gives a square (27040000 = 5200²).

Adding to 405600000 its reverse (6504), we get a palindrome (405606504).

The spelling of 405600000 in words is "four hundred five million, six hundred thousand".