415201290 has 256 divisors, whose sum is σ = 1274019840. Its totient is φ = 84522240.

The previous prime is 415201279. The next prime is 415201291. The reversal of 415201290 is 92102514.

It is a super-2 number, since 2×415201290² = 344784222435328200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415201290.

It is not an unprimeable number, because it can be changed into a prime (415201291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7037281 + ... + 7037339.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^415201290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415201290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637009920).

415201290 is an abundant number, since it is smaller than the sum of its proper divisors (858818550).

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

415201290 is a wasteful number, since it uses less digits than its factorization.

415201290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 415201290 is about 20376.4886572736. The cubic root of 415201290 is about 746.0241698308.

The spelling of 415201290 in words is "four hundred fifteen million, two hundred one thousand, two hundred ninety".