1248449376 has 96 divisors (see below), whose sum is σ = 3328063200. Its totient is φ = 409743360.

The previous prime is 1248449351. The next prime is 1248449387. The reversal of 1248449376 is 6739448421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1161216) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395996 + ... + 2396516.

It is an arithmetic number, because the mean of its divisors is an integer number (34667325).

Almost surely, 2^1248449376 is an apocalyptic number.

1248449376 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 1248449376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664031600).

1248449376 is an abundant number, since it is smaller than the sum of its proper divisors (2079613824).

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

1248449376 is a wasteful number, since it uses less digits than its factorization.

1248449376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 1248449376 is about 35333.4031194279. The cubic root of 1248449376 is about 1076.7717316192.

The spelling of 1248449376 in words is "one billion, two hundred forty-eight million, four hundred forty-nine thousand, three hundred seventy-six".