410400400 has 60 divisors (see below), whose sum is σ = 1044003492. Its totient is φ = 154501120.

The previous prime is 410400371. The next prime is 410400407. The reversal of 410400400 is 4004014.

410400400 = T₁₅₁ + T₁₅₂ + ... + T₁₃₅₀.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28901376 + 381499024 = 5376^2 + 19532^2 .

It is not an unprimeable number, because it can be changed into a prime (410400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23377 + ... + 36976.

Almost surely, 2^410400400 is an apocalyptic number.

410400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410400400 is an abundant number, since it is smaller than the sum of its proper divisors (633603092).

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

410400400 is a wasteful number, since it uses less digits than its factorization.

410400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60388 (or 60377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 410400400 is about 20258.3414918398. The cubic root of 410400400 is about 743.1376392132.

Adding to 410400400 its reverse (4004014), we get a palindrome (414404414).

The spelling of 410400400 in words is "four hundred ten million, four hundred thousand, four hundred".