416281440 has 48 divisors (see below), whose sum is σ = 1311288048. Its totient is φ = 111008256.

The previous prime is 416281433. The next prime is 416281441. The reversal of 416281440 is 44182614.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 416281398 and 416281407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416281441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433147 + ... + 434106.

It is an arithmetic number, because the mean of its divisors is an integer number (27318501).

Almost surely, 2^416281440 is an apocalyptic number.

416281440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416281440 is an abundant number, since it is smaller than the sum of its proper divisors (895006608).

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

416281440 is a wasteful number, since it uses less digits than its factorization.

416281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867271 (or 867263 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 416281440 is about 20402.9762534783. The cubic root of 416281440 is about 746.6705392373.

The spelling of 416281440 in words is "four hundred sixteen million, two hundred eighty-one thousand, four hundred forty".