1252898640 has 360 divisors, whose sum is σ = 5185014120. Its totient is φ = 269402112.

The previous prime is 1252898609. The next prime is 1252898651. The reversal of 1252898640 is 468982521.

1252898640 is a `hidden beast` number, since 1 + 2 + 528 + 9 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 503015184 + 749883456 = 22428^2 + 27384^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1252898640² = 3139510004227699200, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 598716 + ... + 600804.

It is an arithmetic number, because the mean of its divisors is an integer number (14402817).

Almost surely, 2^1252898640 is an apocalyptic number.

1252898640 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 1252898640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592507060).

1252898640 is an abundant number, since it is smaller than the sum of its proper divisors (3932115480).

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

1252898640 is a wasteful number, since it uses less digits than its factorization.

1252898640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1252898640 is about 35396.3082820794. The cubic root of 1252898640 is about 1078.0493596334.

The spelling of 1252898640 in words is "one billion, two hundred fifty-two million, eight hundred ninety-eight thousand, six hundred forty".