416266840 has 64 divisors (see below), whose sum is σ = 1025809920. Its totient is φ = 150768000.

The previous prime is 416266831. The next prime is 416266843. The reversal of 416266840 is 48662614.

It is a self number, because there is not a number n which added to its sum of digits gives 416266840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416266843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117495 + ... + 120985.

It is an arithmetic number, because the mean of its divisors is an integer number (16028280).

Almost surely, 2^416266840 is an apocalyptic number.

416266840 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 416266840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512904960).

416266840 is an abundant number, since it is smaller than the sum of its proper divisors (609543080).

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

416266840 is a wasteful number, since it uses less digits than its factorization.

416266840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 416266840 is about 20402.6184594037. The cubic root of 416266840 is about 746.6618099528.

The spelling of 416266840 in words is "four hundred sixteen million, two hundred sixty-six thousand, eight hundred forty".