410253480 has 288 divisors, whose sum is σ = 1671251400. Its totient is φ = 86510592.

The previous prime is 410253463. The next prime is 410253499. The reversal of 410253480 is 84352014.

It can be written as a sum of positive squares in 4 ways, for example, as 352463076 + 57790404 = 18774^2 + 7602^2 .

It is a super-2 number, since 2×410253480² = 336615835704220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228426 + ... + 230214.

Almost surely, 2^410253480 is an apocalyptic number.

410253480 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 410253480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835625700).

410253480 is an abundant number, since it is smaller than the sum of its proper divisors (1260997920).

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

410253480 is a wasteful number, since it uses less digits than its factorization.

410253480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 410253480 is about 20254.7150066349. The cubic root of 410253480 is about 743.0489495552.

The spelling of 410253480 in words is "four hundred ten million, two hundred fifty-three thousand, four hundred eighty".