1460125440 has 180 divisors, whose sum is σ = 5224966824. Its totient is φ = 389339136.

The previous prime is 1460125423. The next prime is 1460125441. The reversal of 1460125440 is 445210641.

1460125440 is a `hidden beast` number, since 1 + 4 + 601 + 2 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460125441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96639 + ... + 110721.

Almost surely, 2^1460125440 is an apocalyptic number.

1460125440 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 1460125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612483412).

1460125440 is an abundant number, since it is smaller than the sum of its proper divisors (3764841384).

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

1460125440 is an equidigital number, since it uses as much as digits as its factorization.

1460125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1460125440 is about 38211.5877712508. The cubic root of 1460125440 is about 1134.4796828467.

The spelling of 1460125440 in words is "one billion, four hundred sixty million, one hundred twenty-five thousand, four hundred forty".