416065440 has 96 divisors (see below), whose sum is σ = 1497847680. Its totient is φ = 95099904.

The previous prime is 416065427. The next prime is 416065457. The reversal of 416065440 is 44560614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×416065440² = 346220900724787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416065398 and 416065407.

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 15 ways as a sum of consecutive naturals, for example, 58555 + ... + 65274.

It is an arithmetic number, because the mean of its divisors is an integer number (15602580).

Almost surely, 2^416065440 is an apocalyptic number.

416065440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416065440 is an abundant number, since it is smaller than the sum of its proper divisors (1081782240).

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

416065440 is a wasteful number, since it uses less digits than its factorization.

416065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123854 (or 123846 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 416065440 is about 20397.6822212721. The cubic root of 416065440 is about 746.5413728255.

The spelling of 416065440 in words is "four hundred sixteen million, sixty-five thousand, four hundred forty".