1253618480 has 40 divisors (see below), whose sum is σ = 3068070000. Its totient is φ = 475054848.

The previous prime is 1253618449. The next prime is 1253618491. The reversal of 1253618480 is 848163521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410855 + ... + 413894.

It is an arithmetic number, because the mean of its divisors is an integer number (76701750).

Almost surely, 2^1253618480 is an apocalyptic number.

1253618480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253618480 is an abundant number, since it is smaller than the sum of its proper divisors (1814451520).

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

1253618480 is a wasteful number, since it uses less digits than its factorization.

1253618480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824781 (or 824775 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1253618480 is about 35406.4751140240. The cubic root of 1253618480 is about 1078.2557808221.

The spelling of 1253618480 in words is "one billion, two hundred fifty-three million, six hundred eighteen thousand, four hundred eighty".