1249819416 has 64 divisors (see below), whose sum is σ = 3482863200. Its totient is φ = 415269504.

The previous prime is 1249819339. The next prime is 1249819429. The reversal of 1249819416 is 6149189421.

It is a happy number.

It is a super-2 number, since 2×1249819416² = 3124097145221162112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59346 + ... + 77598.

Almost surely, 2^1249819416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249819416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741431600).

1249819416 is an abundant number, since it is smaller than the sum of its proper divisors (2233043784).

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

1249819416 is a wasteful number, since it uses less digits than its factorization.

1249819416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18585 (or 18575 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1249819416 is about 35352.7851236646. The cubic root of 1249819416 is about 1077.1654683265.

The spelling of 1249819416 in words is "one billion, two hundred forty-nine million, eight hundred nineteen thousand, four hundred sixteen".