1453609920 has 224 divisors, whose sum is σ = 5457139200. Its totient is φ = 320753664.

The previous prime is 1453609907. The next prime is 1453609921. The reversal of 1453609920 is 299063541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1453609920² = 4225963599044812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453609921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191151 + ... + 198609.

Almost surely, 2^1453609920 is an apocalyptic number.

1453609920 is a gapful number since it is divisible by the number (10) 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 1453609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728569600).

1453609920 is an abundant number, since it is smaller than the sum of its proper divisors (4003529280).

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

1453609920 is a wasteful number, since it uses less digits than its factorization.

1453609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1453609920 is about 38126.2366356817. The cubic root of 1453609920 is about 1132.7897031366.

The spelling of 1453609920 in words is "one billion, four hundred fifty-three million, six hundred nine thousand, nine hundred twenty".