412817610 has 32 divisors (see below), whose sum is σ = 1024928640. Its totient is φ = 106288448.

The previous prime is 412817609. The next prime is 412817611. The reversal of 412817610 is 16718214.

It is an interprime number because it is at equal distance from previous prime (412817609) and next prime (412817611).

It is a super-2 number, since 2×412817610² = 340836758252224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (412817611) 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 15 ways as a sum of consecutive naturals, for example, 236382 + ... + 238121.

It is an arithmetic number, because the mean of its divisors is an integer number (32029020).

Almost surely, 2^412817610 is an apocalyptic number.

412817610 is an abundant number, since it is smaller than the sum of its proper divisors (612111030).

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

412817610 is a wasteful number, since it uses less digits than its factorization.

412817610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474542.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 412817610 is about 20317.9135247692. The cubic root of 412817610 is about 744.5937818191.

The spelling of 412817610 in words is "four hundred twelve million, eight hundred seventeen thousand, six hundred ten".