1249425408 has 384 divisors, whose sum is σ = 4402944000. Its totient is φ = 305233920.

The previous prime is 1249425407. The next prime is 1249425467. The reversal of 1249425408 is 8045249421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1249425408² = 3122127700311932928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249425407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8988603 + ... + 8988741.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1249425408 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 1249425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1249425408 is an abundant number, since it is smaller than the sum of its proper divisors (3153518592).

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

1249425408 is a wasteful number, since it uses less digits than its factorization.

1249425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1249425408 is about 35347.2121672983. The cubic root of 1249425408 is about 1077.0522635938.

The spelling of 1249425408 in words is "one billion, two hundred forty-nine million, four hundred twenty-five thousand, four hundred eight".