411765264 has 135 divisors (see below), whose sum is σ = 1230032973. Its totient is φ = 128570112.

The previous prime is 411765257. The next prime is 411765271. The reversal of 411765264 is 462567114.

The square root of 411765264 is 20292.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (411765257) and next prime (411765271).

It can be written as a sum of positive squares in only one way, i.e., 79067664 + 332697600 = 8892^2 + 18240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4626532 + ... + 4626620.

Almost surely, 2^411765264 is an apocalyptic number.

411765264 is the 20292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411765264

411765264 is an abundant number, since it is smaller than the sum of its proper divisors (818267709).

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

411765264 is a wasteful number, since it uses less digits than its factorization.

411765264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 411765264 is about 743.9605424791.

Multiplying 411765264 by its sum of digits (36), we get a square (14823549504 = 121752²).

411765264 divided by its sum of digits (36) gives a square (11437924 = 3382²).

The spelling of 411765264 in words is "four hundred eleven million, seven hundred sixty-five thousand, two hundred sixty-four".