1456906752 has 360 divisors, whose sum is σ = 5071068288. Its totient is φ = 394260480.

The previous prime is 1456906747. The next prime is 1456906769. The reversal of 1456906752 is 2576096541.

1456906752 is a `hidden beast` number, since 1 + 456 + 90 + 67 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1456906698 and 1456906707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30997993 + ... + 30998039.

Almost surely, 2^1456906752 is an apocalyptic number.

1456906752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535534144).

1456906752 is an abundant number, since it is smaller than the sum of its proper divisors (3614161536).

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

1456906752 is an equidigital number, since it uses as much as digits as its factorization.

1456906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1456906752 is about 38169.4478870208. The cubic root of 1456906752 is about 1133.6454571310.

The spelling of 1456906752 in words is "one billion, four hundred fifty-six million, nine hundred six thousand, seven hundred fifty-two".