1253413980 has 384 divisors, whose sum is σ = 5012582400. Its totient is φ = 252730368.

The previous prime is 1253413963. The next prime is 1253413981. The reversal of 1253413980 is 893143521.

1253413980 is a `hidden beast` number, since 12 + 534 + 1 + 39 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253413981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1129666 + ... + 1130774.

It is an arithmetic number, because the mean of its divisors is an integer number (13053600).

Almost surely, 2^1253413980 is an apocalyptic number.

1253413980 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 1253413980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506291200).

1253413980 is an abundant number, since it is smaller than the sum of its proper divisors (3759168420).

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

1253413980 is a wasteful number, since it uses less digits than its factorization.

1253413980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1253413980 is about 35403.5871063936. The cubic root of 1253413980 is about 1078.1971464763.

The spelling of 1253413980 in words is "one billion, two hundred fifty-three million, four hundred thirteen thousand, nine hundred eighty".