411438690 has 160 divisors (see below), whose sum is σ = 1221753456. Its totient is φ = 98703360.

The previous prime is 411438679. The next prime is 411438691. The reversal of 411438690 is 96834114.

It can be written as a sum of positive squares in 8 ways, for example, as 15468489 + 395970201 = 3933^2 + 19899^2 .

It is a super-2 number, since 2×411438690² = 338563591257832200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (411438691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 431254 + ... + 432206.

Almost surely, 2^411438690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411438690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610876728).

411438690 is an abundant number, since it is smaller than the sum of its proper divisors (810314766).

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

411438690 is a wasteful number, since it uses less digits than its factorization.

411438690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 411438690 is about 20283.9515381003. The cubic root of 411438690 is about 743.7638103031.

The spelling of 411438690 in words is "four hundred eleven million, four hundred thirty-eight thousand, six hundred ninety".