1456411530 has 32 divisors (see below), whose sum is σ = 3994729344. Its totient is φ = 332894016.

The previous prime is 1456411507. The next prime is 1456411577. The reversal of 1456411530 is 351146541.

It is a happy number.

1456411530 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1456411530² = 4242269089433881800, which contains 22 as substring.

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

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, 3467437 + ... + 3467856.

It is an arithmetic number, because the mean of its divisors is an integer number (124835292).

Almost surely, 2^1456411530 is an apocalyptic number.

1456411530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1456411530 is an abundant number, since it is smaller than the sum of its proper divisors (2538317814).

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

1456411530 is a wasteful number, since it uses less digits than its factorization.

1456411530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935310.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1456411530 is about 38162.9601839270. The cubic root of 1456411530 is about 1133.5169955138.

The spelling of 1456411530 in words is "one billion, four hundred fifty-six million, four hundred eleven thousand, five hundred thirty".