413948760 has 128 divisors (see below), whose sum is σ = 1269665280. Its totient is φ = 107947008.

The previous prime is 413948749. The next prime is 413948783. The reversal of 413948760 is 67849314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322364 + ... + 1322676.

It is an arithmetic number, because the mean of its divisors is an integer number (9919260).

Almost surely, 2^413948760 is an apocalyptic number.

413948760 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 413948760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634832640).

413948760 is an abundant number, since it is smaller than the sum of its proper divisors (855716520).

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

413948760 is a wasteful number, since it uses less digits than its factorization.

413948760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 413948760 is about 20345.7307561070. The cubic root of 413948760 is about 745.2732418132.

The spelling of 413948760 in words is "four hundred thirteen million, nine hundred forty-eight thousand, seven hundred sixty".