1456352440 has 16 divisors (see below), whose sum is σ = 3276793080. Its totient is φ = 582540960.

The previous prime is 1456352411. The next prime is 1456352459. The reversal of 1456352440 is 442536541.

It is a junction number, because it is equal to n+sod(n) for n = 1456352396 and 1456352405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18204366 + ... + 18204445.

Almost surely, 2^1456352440 is an apocalyptic number.

1456352440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456352440 is an abundant number, since it is smaller than the sum of its proper divisors (1820440640).

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

1456352440 is a wasteful number, since it uses less digits than its factorization.

1456352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36408822 (or 36408818 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 1456352440 is about 38162.1859960878. The cubic root of 1456352440 is about 1133.5016655003.

Adding to 1456352440 its reverse (442536541), we get a palindrome (1898888981).

The spelling of 1456352440 in words is "one billion, four hundred fifty-six million, three hundred fifty-two thousand, four hundred forty".