418172040 has 192 divisors, whose sum is σ = 1596853440. Its totient is φ = 93565440.

The previous prime is 418172021. The next prime is 418172047. The reversal of 418172040 is 40271814.

It is a junction number, because it is equal to n+sod(n) for n = 418171995 and 418172013.

It is not an unprimeable number, because it can be changed into a prime (418172047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47419 + ... + 55541.

It is an arithmetic number, because the mean of its divisors is an integer number (8316945).

Almost surely, 2^418172040 is an apocalyptic number.

418172040 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 418172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798426720).

418172040 is an abundant number, since it is smaller than the sum of its proper divisors (1178681400).

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

418172040 is a wasteful number, since it uses less digits than its factorization.

418172040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 418172040 is about 20449.2552431623. The cubic root of 418172040 is about 747.7992016322.

The spelling of 418172040 in words is "four hundred eighteen million, one hundred seventy-two thousand, forty".