416807040 has 128 divisors (see below), whose sum is σ = 1430856000. Its totient is φ = 102592512.

The previous prime is 416807021. The next prime is 416807057. The reversal of 416807040 is 40708614.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 416806989 and 416807007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16611 + ... + 33309.

Almost surely, 2^416807040 is an apocalyptic number.

416807040 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 416807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715428000).

416807040 is an abundant number, since it is smaller than the sum of its proper divisors (1014048960).

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

416807040 is a wasteful number, since it uses less digits than its factorization.

416807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16734 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 416807040 is about 20415.8526640452. The cubic root of 416807040 is about 746.9846576384.

The spelling of 416807040 in words is "four hundred sixteen million, eight hundred seven thousand, forty".