1456701540 has 192 divisors, whose sum is σ = 4834959360. Its totient is φ = 320785920.

The previous prime is 1456701517. The next prime is 1456701551. The reversal of 1456701540 is 451076541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1426230 + ... + 1427250.

It is an arithmetic number, because the mean of its divisors is an integer number (25182080).

Almost surely, 2^1456701540 is an apocalyptic number.

1456701540 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 1456701540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417479680).

1456701540 is an abundant number, since it is smaller than the sum of its proper divisors (3378257820).

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

1456701540 is a wasteful number, since it uses less digits than its factorization.

1456701540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1456701540 is about 38166.7596214297. The cubic root of 1456701540 is about 1133.5922282439.

The spelling of 1456701540 in words is "one billion, four hundred fifty-six million, seven hundred one thousand, five hundred forty".