1293753480 has 64 divisors (see below), whose sum is σ = 3935952000. Its totient is φ = 340139520.

The previous prime is 1293753421. The next prime is 1293753497. The reversal of 1293753480 is 843573921.

It is a super-2 number, since 2×1293753480² = 3347596134024220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67405 + ... + 84444.

It is an arithmetic number, because the mean of its divisors is an integer number (61499250).

Almost surely, 2^1293753480 is an apocalyptic number.

1293753480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293753480 is an abundant number, since it is smaller than the sum of its proper divisors (2642198520).

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

1293753480 is a wasteful number, since it uses less digits than its factorization.

1293753480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151934 (or 151930 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1293753480 is about 35968.7848001569. The cubic root of 1293753480 is about 1089.6420225577.

The spelling of 1293753480 in words is "one billion, two hundred ninety-three million, seven hundred fifty-three thousand, four hundred eighty".