1453906944 has 264 divisors, whose sum is σ = 4959438848. Its totient is φ = 401448960.

The previous prime is 1453906943. The next prime is 1453906957. The reversal of 1453906944 is 4496093541.

1453906944 is a `hidden beast` number, since 14 + 539 + 0 + 69 + 44 = 666.

It is a super-2 number, since 2×1453906944² = 4227690803622838272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1453906944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453906943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999509 + ... + 2000235.

Almost surely, 2^1453906944 is an apocalyptic number.

1453906944 is a gapful number since it is divisible by the number (14) 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 1453906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479719424).

1453906944 is an abundant number, since it is smaller than the sum of its proper divisors (3505531904).

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

1453906944 is a wasteful number, since it uses less digits than its factorization.

1453906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1453906944 is about 38130.1317070896. The cubic root of 1453906944 is about 1132.8668542369.

The spelling of 1453906944 in words is "one billion, four hundred fifty-three million, nine hundred six thousand, nine hundred forty-four".