1456430340 has 48 divisors (see below), whose sum is σ = 4147133760. Its totient is φ = 381797760.

The previous prime is 1456430329. The next prime is 1456430383. The reversal of 1456430340 is 430346541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1456430298 and 1456430307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202171 + ... + 209250.

It is an arithmetic number, because the mean of its divisors is an integer number (86398620).

Almost surely, 2^1456430340 is an apocalyptic number.

1456430340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456430340 is an abundant number, since it is smaller than the sum of its proper divisors (2690703420).

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

1456430340 is a wasteful number, since it uses less digits than its factorization.

1456430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411492 (or 411490 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1456430340 is about 38163.2066262781. The cubic root of 1456430340 is about 1133.5218753989.

Adding to 1456430340 its reverse (430346541), we get a palindrome (1886776881).

The spelling of 1456430340 in words is "one billion, four hundred fifty-six million, four hundred thirty thousand, three hundred forty".