415743040 has 56 divisors (see below), whose sum is σ = 1004815872. Its totient is φ = 163806720.

The previous prime is 415743001. The next prime is 415743061. The reversal of 415743040 is 40347514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11745 + ... + 31135.

Almost surely, 2^415743040 is an apocalyptic number.

415743040 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 415743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502407936).

415743040 is an abundant number, since it is smaller than the sum of its proper divisors (589072832).

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

415743040 is a wasteful number, since it uses less digits than its factorization.

415743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19475 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 415743040 is about 20389.7778310603. Note that the first 3 decimals coincide. The cubic root of 415743040 is about 746.3484968102.

The spelling of 415743040 in words is "four hundred fifteen million, seven hundred forty-three thousand, forty".