1252107480 has 192 divisors, whose sum is σ = 4209732000. Its totient is φ = 297443328.

The previous prime is 1252107469. The next prime is 1252107517. The reversal of 1252107480 is 847012521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 587056 + ... + 589184.

Almost surely, 2^1252107480 is an apocalyptic number.

1252107480 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 1252107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104866000).

1252107480 is an abundant number, since it is smaller than the sum of its proper divisors (2957624520).

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

1252107480 is a wasteful number, since it uses less digits than its factorization.

1252107480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1252107480 is about 35385.1307755108. The cubic root of 1252107480 is about 1077.8223955108.

The spelling of 1252107480 in words is "one billion, two hundred fifty-two million, one hundred seven thousand, four hundred eighty".