418990968 has 160 divisors (see below), whose sum is σ = 1310981760. Its totient is φ = 123923520.

The previous prime is 418990967. The next prime is 418990969. The reversal of 418990968 is 869099814.

It is an interprime number because it is at equal distance from previous prime (418990967) and next prime (418990969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418990963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305821 + ... + 307187.

It is an arithmetic number, because the mean of its divisors is an integer number (8193636).

Almost surely, 2^418990968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418990968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655490880).

418990968 is an abundant number, since it is smaller than the sum of its proper divisors (891990792).

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

418990968 is a wasteful number, since it uses less digits than its factorization.

418990968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 418990968 is about 20469.2688682327. The cubic root of 418990968 is about 748.2870346448.

The spelling of 418990968 in words is "four hundred eighteen million, nine hundred ninety thousand, nine hundred sixty-eight".