410479488 has 224 divisors, whose sum is σ = 1264251240. Its totient is φ = 132627456.

The previous prime is 410479469. The next prime is 410479493. The reversal of 410479488 is 884974014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4945495 + ... + 4945577.

Almost surely, 2^410479488 is an apocalyptic number.

410479488 is a gapful number since it is divisible by the number (48) 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 410479488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632125620).

410479488 is an abundant number, since it is smaller than the sum of its proper divisors (853771752).

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

410479488 is an frugal number, since it uses more digits than its factorization.

410479488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 410479488 is about 20260.2933838580. The cubic root of 410479488 is about 743.1853726743.

The spelling of 410479488 in words is "four hundred ten million, four hundred seventy-nine thousand, four hundred eighty-eight".