1053386460 has 144 divisors (see below), whose sum is σ = 3667075776. Its totient is φ = 239763456.

The previous prime is 1053386443. The next prime is 1053386497. The reversal of 1053386460 is 646833501.

1053386460 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 8 + 646 + 0 = 666.

It is a super-2 number, since 2×1053386460² = 2219246068222663200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322194 + ... + 325446.

It is an arithmetic number, because the mean of its divisors is an integer number (25465804).

Almost surely, 2^1053386460 is an apocalyptic number.

1053386460 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 1053386460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833537888).

1053386460 is an abundant number, since it is smaller than the sum of its proper divisors (2613689316).

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

1053386460 is a wasteful number, since it uses less digits than its factorization.

1053386460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1053386460 is about 32455.9156395256. The cubic root of 1053386460 is about 1017.4878780398.

The spelling of 1053386460 in words is "one billion, fifty-three million, three hundred eighty-six thousand, four hundred sixty".