1457777540 has 48 divisors (see below), whose sum is σ = 3272959872. Its totient is φ = 543469056.

The previous prime is 1457777507. The next prime is 1457777549. The reversal of 1457777540 is 457777541.

It is a super-2 number, since 2×1457777540² = 4250230712256903200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1457777549) 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 15 ways as a sum of consecutive naturals, for example, 14207 + ... + 55833.

It is an arithmetic number, because the mean of its divisors is an integer number (68186664).

Almost surely, 2^1457777540 is an apocalyptic number.

1457777540 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 1457777540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636479936).

1457777540 is an abundant number, since it is smaller than the sum of its proper divisors (1815182332).

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

1457777540 is a wasteful number, since it uses less digits than its factorization.

1457777540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41756 (or 41754 counting only the distinct ones).

The product of its (nonzero) digits is 960400, while the sum is 47.

The square root of 1457777540 is about 38180.8530549017. The cubic root of 1457777540 is about 1133.8712707710.

Subtracting from 1457777540 its reverse (457777541), we obtain a palindrome (999999999).

The spelling of 1457777540 in words is "one billion, four hundred fifty-seven million, seven hundred seventy-seven thousand, five hundred forty".