1456506030 has 128 divisors (see below), whose sum is σ = 4108382208. Its totient is φ = 323569152.

The previous prime is 1456506013. The next prime is 1456506041. The reversal of 1456506030 is 306056541.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1707084 + ... + 1707936.

It is an arithmetic number, because the mean of its divisors is an integer number (32096736).

Almost surely, 2^1456506030 is an apocalyptic number.

1456506030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456506030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054191104).

1456506030 is an abundant number, since it is smaller than the sum of its proper divisors (2651876178).

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

1456506030 is a wasteful number, since it uses less digits than its factorization.

1456506030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1456506030 is about 38164.1982753470. The cubic root of 1456506030 is about 1133.5415112584.

The spelling of 1456506030 in words is "one billion, four hundred fifty-six million, five hundred six thousand, thirty".