415949201 has 8 divisors (see below), whose sum is σ = 425658240. Its totient is φ = 406276048.

The previous prime is 415949137. The next prime is 415949213. The reversal of 415949201 is 102949514.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415949201 - 2⁶ = 415949137 is a prime.

It is a super-3 number, since 3×415949201³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415949221) 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 7 ways as a sum of consecutive naturals, for example, 15230 + ... + 32616.

It is an arithmetic number, because the mean of its divisors is an integer number (53207280).

Almost surely, 2^415949201 is an apocalyptic number.

It is an amenable number.

415949201 is a deficient number, since it is larger than the sum of its proper divisors (9709039).

415949201 is a wasteful number, since it uses less digits than its factorization.

415949201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17943.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 415949201 is about 20394.8327034080. The cubic root of 415949201 is about 746.4718442557.

The spelling of 415949201 in words is "four hundred fifteen million, nine hundred forty-nine thousand, two hundred one".