1251284496 has 320 divisors, whose sum is σ = 4248109056. Its totient is φ = 307929600.

The previous prime is 1251284483. The next prime is 1251284497. The reversal of 1251284496 is 6944821521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1251284497) 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 63 ways as a sum of consecutive naturals, for example, 7676511 + ... + 7676673.

Almost surely, 2^1251284496 is an apocalyptic number.

1251284496 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 1251284496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124054528).

1251284496 is an abundant number, since it is smaller than the sum of its proper divisors (2996824560).

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

1251284496 is a wasteful number, since it uses less digits than its factorization.

1251284496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1251284496 is about 35373.4999116570. The cubic root of 1251284496 is about 1077.5862003988.

The spelling of 1251284496 in words is "one billion, two hundred fifty-one million, two hundred eighty-four thousand, four hundred ninety-six".