410780480 has 126 divisors (see below), whose sum is σ = 1085719698. Its totient is φ = 147924480.

The previous prime is 410780471. The next prime is 410780521. The reversal of 410780480 is 84087014.

It can be written as a sum of positive squares in only one way, i.e., 328624384 + 82156096 = 18128^2 + 9064^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3988109 + ... + 3988211.

It is an arithmetic number, because the mean of its divisors is an integer number (8616823).

Almost surely, 2^410780480 is an apocalyptic number.

410780480 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 410780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542859849).

410780480 is an abundant number, since it is smaller than the sum of its proper divisors (674939218).

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

410780480 is a wasteful number, since it uses less digits than its factorization.

410780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 410780480 is about 20267.7201480581. The cubic root of 410780480 is about 743.3669799611.

The spelling of 410780480 in words is "four hundred ten million, seven hundred eighty thousand, four hundred eighty".