413042760 has 384 divisors, whose sum is σ = 1560038400. Its totient is φ = 97044480.

The previous prime is 413042723. The next prime is 413042779. The reversal of 413042760 is 67240314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5658084 + ... + 5658156.

It is an arithmetic number, because the mean of its divisors is an integer number (4062600).

Almost surely, 2^413042760 is an apocalyptic number.

413042760 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 413042760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780019200).

413042760 is an abundant number, since it is smaller than the sum of its proper divisors (1146995640).

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

413042760 is a wasteful number, since it uses less digits than its factorization.

413042760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413042760 is about 20323.4534466955. The cubic root of 413042760 is about 744.7291239310.

The spelling of 413042760 in words is "four hundred thirteen million, forty-two thousand, seven hundred sixty".