1251348480 has 416 divisors, whose sum is σ = 4655109120. Its totient is φ = 318504960.

The previous prime is 1251348467. The next prime is 1251348487. The reversal of 1251348480 is 848431521.

1251348480 is a `hidden beast` number, since 125 + 13 + 48 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1251348487) 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, 17141724 + ... + 17141796.

Almost surely, 2^1251348480 is an apocalyptic number.

1251348480 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 1251348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327554560).

1251348480 is an abundant number, since it is smaller than the sum of its proper divisors (3403760640).

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

1251348480 is an equidigital number, since it uses as much as digits as its factorization.

1251348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1251348480 is about 35374.4043059385. The cubic root of 1251348480 is about 1077.6045674183.

The spelling of 1251348480 in words is "one billion, two hundred fifty-one million, three hundred forty-eight thousand, four hundred eighty".