418972680 has 96 divisors (see below), whose sum is σ = 1556193600. Its totient is φ = 95764608.

The previous prime is 418972679. The next prime is 418972681. The reversal of 418972680 is 86279814.

It is an interprime number because it is at equal distance from previous prime (418972679) and next prime (418972681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (418972681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80610 + ... + 85649.

It is an arithmetic number, because the mean of its divisors is an integer number (16210350).

Almost surely, 2^418972680 is an apocalyptic number.

418972680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418972680 is an abundant number, since it is smaller than the sum of its proper divisors (1137220920).

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

418972680 is a wasteful number, since it uses less digits than its factorization.

418972680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166283 (or 166276 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 418972680 is about 20468.8221449110. The cubic root of 418972680 is about 748.2761474790.

The spelling of 418972680 in words is "four hundred eighteen million, nine hundred seventy-two thousand, six hundred eighty".