405050400 has 216 divisors, whose sum is σ = 1445040324. Its totient is φ = 106752000.

The previous prime is 405050383. The next prime is 405050407. The reversal of 405050400 is 4050504.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 165791376 + 239259024 = 12876^2 + 15468^2 .

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

It is not an unprimeable number, because it can be changed into a prime (405050407) 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, 726922 + ... + 727478.

Almost surely, 2^405050400 is an apocalyptic number.

405050400 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 405050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722520162).

405050400 is an abundant number, since it is smaller than the sum of its proper divisors (1039989924).

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

405050400 is a wasteful number, since it uses less digits than its factorization.

405050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 405050400 is about 20125.8639566107. The cubic root of 405050400 is about 739.8943116653.

405050400 divided by its reverse (4050504) gives a square (100 = 10²).

It can be divided in two parts, 405050 and 400, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 405050400 in words is "four hundred five million, fifty thousand, four hundred".