410449360 has 120 divisors (see below), whose sum is σ = 1040855256. Its totient is φ = 150405120.

The previous prime is 410449357. The next prime is 410449379. The reversal of 410449360 is 63944014.

It can be written as a sum of positive squares in 12 ways, for example, as 159163456 + 251285904 = 12616^2 + 15852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947704 + ... + 948136.

Almost surely, 2^410449360 is an apocalyptic number.

410449360 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 410449360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520427628).

410449360 is an abundant number, since it is smaller than the sum of its proper divisors (630405896).

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

410449360 is a wasteful number, since it uses less digits than its factorization.

410449360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 410449360 is about 20259.5498469240. The cubic root of 410449360 is about 743.1671896815.

The spelling of 410449360 in words is "four hundred ten million, four hundred forty-nine thousand, three hundred sixty".