1249620480 has 320 divisors, whose sum is σ = 4507747200. Its totient is φ = 328089600.

The previous prime is 1249620467. The next prime is 1249620503. The reversal of 1249620480 is 840269421.

1249620480 is a `hidden beast` number, since 1 + 24 + 9 + 620 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6981031 + ... + 6981209.

It is an arithmetic number, because the mean of its divisors is an integer number (14086710).

Almost surely, 2^1249620480 is an apocalyptic number.

1249620480 is a gapful number since it is divisible by the number (10) 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 1249620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253873600).

1249620480 is an abundant number, since it is smaller than the sum of its proper divisors (3258126720).

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

1249620480 is a wasteful number, since it uses less digits than its factorization.

1249620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1249620480 is about 35349.9714285599. The cubic root of 1249620480 is about 1077.1083138402.

The spelling of 1249620480 in words is "one billion, two hundred forty-nine million, six hundred twenty thousand, four hundred eighty".