1252016460 has 192 divisors, whose sum is σ = 3999744000. Its totient is φ = 325036800.

The previous prime is 1252016443. The next prime is 1252016461. The reversal of 1252016460 is 646102521.

1252016460 is a `hidden beast` number, since 12 + 5 + 2 + 0 + 1 + 646 + 0 = 666.

It is a super-2 number, since 2×1252016460² = 3135090432221863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1252016461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6291441 + ... + 6291639.

It is an arithmetic number, because the mean of its divisors is an integer number (20832000).

Almost surely, 2^1252016460 is an apocalyptic number.

1252016460 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 1252016460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872000).

1252016460 is an abundant number, since it is smaller than the sum of its proper divisors (2747727540).

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

1252016460 is a wasteful number, since it uses less digits than its factorization.

1252016460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1252016460 is about 35383.8446186957. The cubic root of 1252016460 is about 1077.7962780054.

Adding to 1252016460 its reverse (646102521), we get a palindrome (1898118981).

The spelling of 1252016460 in words is "one billion, two hundred fifty-two million, sixteen thousand, four hundred sixty".