410149480 has 192 divisors, whose sum is σ = 1095716160. Its totient is φ = 137539584.

The previous prime is 410149423. The next prime is 410149507. The reversal of 410149480 is 84941014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4941519 + ... + 4941601.

It is an arithmetic number, because the mean of its divisors is an integer number (5706855).

Almost surely, 2^410149480 is an apocalyptic number.

410149480 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 410149480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547858080).

410149480 is an abundant number, since it is smaller than the sum of its proper divisors (685566680).

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

410149480 is a wasteful number, since it uses less digits than its factorization.

410149480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 410149480 is about 20252.1475404462. The cubic root of 410149480 is about 742.9861561642.

The spelling of 410149480 in words is "four hundred ten million, one hundred forty-nine thousand, four hundred eighty".