1457420440 has 128 divisors (see below), whose sum is σ = 3890073600. Its totient is φ = 481029120.

The previous prime is 1457420431. The next prime is 1457420443. The reversal of 1457420440 is 440247541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457420443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906117 + ... + 907723.

It is an arithmetic number, because the mean of its divisors is an integer number (30391200).

Almost surely, 2^1457420440 is an apocalyptic number.

1457420440 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 1457420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945036800).

1457420440 is an abundant number, since it is smaller than the sum of its proper divisors (2432653160).

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

1457420440 is a wasteful number, since it uses less digits than its factorization.

1457420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The square root of 1457420440 is about 38176.1763407495. The cubic root of 1457420440 is about 1133.7786781117.

Adding to 1457420440 its reverse (440247541), we get a palindrome (1897667981).

The spelling of 1457420440 in words is "one billion, four hundred fifty-seven million, four hundred twenty thousand, four hundred forty".