1456130632 has 64 divisors (see below), whose sum is σ = 3029140800. Its totient is φ = 650711040.

The previous prime is 1456130617. The next prime is 1456130633. The reversal of 1456130632 is 2360316541.

It is a junction number, because it is equal to n+sod(n) for n = 1456130594 and 1456130603.

It is not an unprimeable number, because it can be changed into a prime (1456130633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527468 + ... + 1528420.

It is an arithmetic number, because the mean of its divisors is an integer number (47330325).

Almost surely, 2^1456130632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456130632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514570400).

1456130632 is an abundant number, since it is smaller than the sum of its proper divisors (1573010168).

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

1456130632 is a wasteful number, since it uses less digits than its factorization.

1456130632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 1456130632 is about 38159.2797625951. The cubic root of 1456130632 is about 1133.4441170444. Note that the first 3 decimals are identical.

The spelling of 1456130632 in words is "one billion, four hundred fifty-six million, one hundred thirty thousand, six hundred thirty-two".