1453820641 has 27 divisors (see below), whose sum is σ = 1835657811. Its totient is φ = 1147530384.

The previous prime is 1453820633. The next prime is 1453820653. The reversal of 1453820641 is 1460283541.

The square root of 1453820641 is 38129.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 215062225 + 1238758416 = 14665^2 + 35196^2 .

It is not a de Polignac number, because 1453820641 - 2³ = 1453820633 is a prime.

It is a super-2 number, since 2×1453820641² = 4227188912395301762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453820597 and 1453820606.

It is not an unprimeable number, because it can be changed into a prime (1453820611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3469530 + ... + 3469948.

Almost surely, 2^1453820641 is an apocalyptic number.

1453820641 is the 38129-th square number.

1453820641 is the 19065-th centered octagonal number.

It is an amenable number.

1453820641 is a deficient number, since it is larger than the sum of its proper divisors (381837170).

1453820641 is an frugal number, since it uses more digits than its factorization.

1453820641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 1453820641 is about 1132.8444383725.

The spelling of 1453820641 in words is "one billion, four hundred fifty-three million, eight hundred twenty thousand, six hundred forty-one".