1456074752 has 104 divisors (see below), whose sum is σ = 3365124912. Its totient is φ = 622592000.

The previous prime is 1456074751. The next prime is 1456074773. The reversal of 1456074752 is 2574706541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456074751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765002 + ... + 766902.

Almost surely, 2^1456074752 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 1456074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682562456).

1456074752 is an abundant number, since it is smaller than the sum of its proper divisors (1909050160).

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

1456074752 is a wasteful number, since it uses less digits than its factorization.

1456074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 1456074752 is about 38158.5475614573. The cubic root of 1456074752 is about 1133.4296179635.

The spelling of 1456074752 in words is "one billion, four hundred fifty-six million, seventy-four thousand, seven hundred fifty-two".