412249014 has 96 divisors (see below), whose sum is σ = 1005522336. Its totient is φ = 126074880.

The previous prime is 412248983. The next prime is 412249027. The reversal of 412249014 is 410942214.

It is a happy number.

412249014 is a `hidden beast` number, since 412 + 249 + 0 + 1 + 4 = 666.

It is a super-3 number, since 3×412249014³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338134 + ... + 339350.

It is an arithmetic number, because the mean of its divisors is an integer number (10474191).

Almost surely, 2^412249014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412249014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502761168).

412249014 is an abundant number, since it is smaller than the sum of its proper divisors (593273322).

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

412249014 is a wasteful number, since it uses less digits than its factorization.

412249014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 412249014 is about 20303.9162232314. The cubic root of 412249014 is about 744.2517683304.

The spelling of 412249014 in words is "four hundred twelve million, two hundred forty-nine thousand, fourteen".