416764040 has 128 divisors (see below), whose sum is σ = 1194393600. Its totient is φ = 127092480.

The previous prime is 416764039. The next prime is 416764043. The reversal of 416764040 is 40467614.

It is a junction number, because it is equal to n+sod(n) for n = 416763988 and 416764006.

It is not an unprimeable number, because it can be changed into a prime (416764043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143321 + ... + 146199.

It is an arithmetic number, because the mean of its divisors is an integer number (9331200).

Almost surely, 2^416764040 is an apocalyptic number.

416764040 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 416764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597196800).

416764040 is an abundant number, since it is smaller than the sum of its proper divisors (777629560).

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

416764040 is a wasteful number, since it uses less digits than its factorization.

416764040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 416764040 is about 20414.7995336716. The cubic root of 416764040 is about 746.9589691369.

The spelling of 416764040 in words is "four hundred sixteen million, seven hundred sixty-four thousand, forty".