1456465450 has 96 divisors (see below), whose sum is σ = 3021556608. Its totient is φ = 517920000.

The previous prime is 1456465441. The next prime is 1456465459. The reversal of 1456465450 is 545646541.

It is an interprime number because it is at equal distance from previous prime (1456465441) and next prime (1456465459).

It is not an unprimeable number, because it can be changed into a prime (1456465459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8721267 + ... + 8721433.

It is an arithmetic number, because the mean of its divisors is an integer number (31474548).

Almost surely, 2^1456465450 is an apocalyptic number.

1456465450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1456465450 is an abundant number, since it is smaller than the sum of its proper divisors (1565091158).

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

1456465450 is a wasteful number, since it uses less digits than its factorization.

1456465450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The square root of 1456465450 is about 38163.6666215394. Note that the first 4 decimals coincide. The cubic root of 1456465450 is about 1133.5309838865.

The spelling of 1456465450 in words is "one billion, four hundred fifty-six million, four hundred sixty-five thousand, four hundred fifty".