1252959840 has 720 divisors, whose sum is σ = 5255845056. Its totient is φ = 279797760.

The previous prime is 1252959839. The next prime is 1252959853. The reversal of 1252959840 is 489592521.

It is a happy number.

1252959840 is a `hidden beast` number, since 1 + 2 + 52 + 9 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26658697 + ... + 26658743.

Almost surely, 2^1252959840 is an apocalyptic number.

1252959840 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 1252959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627922528).

1252959840 is an abundant number, since it is smaller than the sum of its proper divisors (4002885216).

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

1252959840 is a wasteful number, since it uses less digits than its factorization.

1252959840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1252959840 is about 35397.1727684571. The cubic root of 1252959840 is about 1078.0669124091.

The spelling of 1252959840 in words is "one billion, two hundred fifty-two million, nine hundred fifty-nine thousand, eight hundred forty".