1249224480 has 144 divisors (see below), whose sum is σ = 4872014784. Its totient is φ = 285534720.

The previous prime is 1249224463. The next prime is 1249224511. The reversal of 1249224480 is 844229421.

1249224480 is a `hidden beast` number, since 124 + 92 + 2 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51886 + ... + 72045.

It is an arithmetic number, because the mean of its divisors is an integer number (33833436).

Almost surely, 2^1249224480 is an apocalyptic number.

1249224480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1249224480 is an abundant number, since it is smaller than the sum of its proper divisors (3622790304).

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

1249224480 is a wasteful number, since it uses less digits than its factorization.

1249224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123959 (or 123948 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1249224480 is about 35344.3698486760. The cubic root of 1249224480 is about 1076.9945246370.

The spelling of 1249224480 in words is "one billion, two hundred forty-nine million, two hundred twenty-four thousand, four hundred eighty".