1457960 has 64 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 483840.

The previous prime is 1457959. The next prime is 1457969. The reversal of 1457960 is 697541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11417 + ... + 11543.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^1457960 is an apocalyptic number.

1457960 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 1457960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1457960 is an abundant number, since it is smaller than the sum of its proper divisors (2412760).

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

1457960 is a wasteful number, since it uses less digits than its factorization.

1457960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1457960 is about 1207.4601442698. The cubic root of 1457960 is about 113.3918575090.

The spelling of 1457960 in words is "one million, four hundred fifty-seven thousand, nine hundred sixty".