410203040 has 144 divisors (see below), whose sum is σ = 1081060344. Its totient is φ = 146165760.

The previous prime is 410203037. The next prime is 410203043. The reversal of 410203040 is 40302014.

It is an interprime number because it is at equal distance from previous prime (410203037) and next prime (410203043).

It can be written as a sum of positive squares in 12 ways, for example, as 51782416 + 358420624 = 7196^2 + 18932^2 .

It is not an unprimeable number, because it can be changed into a prime (410203043) 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 23 ways as a sum of consecutive naturals, for example, 6724610 + ... + 6724670.

Almost surely, 2^410203040 is an apocalyptic number.

410203040 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 410203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540530172).

410203040 is an abundant number, since it is smaller than the sum of its proper divisors (670857304).

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

410203040 is a wasteful number, since it uses less digits than its factorization.

410203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 410203040 is about 20253.4698261804. The cubic root of 410203040 is about 743.0184960861.

Adding to 410203040 its reverse (40302014), we get a palindrome (450505054).

The spelling of 410203040 in words is "four hundred ten million, two hundred three thousand, forty".