40430208 has 192 divisors, whose sum is σ = 134395200. Its totient is φ = 10543104.

The previous prime is 40430197. The next prime is 40430209. The reversal of 40430208 is 80203404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40430209) 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, 454228 + ... + 454316.

It is an arithmetic number, because the mean of its divisors is an integer number (699975).

Almost surely, 2^40430208 is an apocalyptic number.

40430208 is a gapful number since it is divisible by the number (48) 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 40430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67197600).

40430208 is an abundant number, since it is smaller than the sum of its proper divisors (93964992).

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

40430208 is a wasteful number, since it uses less digits than its factorization.

40430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 40430208 is about 6358.4752889352. The cubic root of 40430208 is about 343.2168954033.

The spelling of 40430208 in words is "forty million, four hundred thirty thousand, two hundred eight".