1249509456 has 160 divisors (see below), whose sum is σ = 3881418240. Its totient is φ = 382579200.

The previous prime is 1249509451. The next prime is 1249509461. The reversal of 1249509456 is 6549059421.

It is an interprime number because it is at equal distance from previous prime (1249509451) and next prime (1249509461).

It is a super-2 number, since 2×1249509456² = 3122547761266831872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249509451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521526 + ... + 1522346.

It is an arithmetic number, because the mean of its divisors is an integer number (24258864).

Almost surely, 2^1249509456 is an apocalyptic number.

1249509456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940709120).

1249509456 is an abundant number, since it is smaller than the sum of its proper divisors (2631908784).

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

1249509456 is a wasteful number, since it uses less digits than its factorization.

1249509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1249509456 is about 35348.4010388023. The cubic root of 1249509456 is about 1077.0764139108.

The spelling of 1249509456 in words is "one billion, two hundred forty-nine million, five hundred nine thousand, four hundred fifty-six".