1453006720 has 192 divisors, whose sum is σ = 3955845600. Its totient is φ = 509358080.

The previous prime is 1453006717. The next prime is 1453006729. The reversal of 1453006720 is 276003541.

It is a super-2 number, since 2×1453006720² = 4222457056730316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453006729) 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, 2245437 + ... + 2246083.

Almost surely, 2^1453006720 is an apocalyptic number.

1453006720 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 1453006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977922800).

1453006720 is an abundant number, since it is smaller than the sum of its proper divisors (2502838880).

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

1453006720 is a wasteful number, since it uses less digits than its factorization.

1453006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1453006720 is about 38118.3252517736. The cubic root of 1453006720 is about 1132.6329913814.

It can be divided in two parts, 145 and 3006720, that multiplied together give a square (435974400 = 20880²).

The spelling of 1453006720 in words is "one billion, four hundred fifty-three million, six thousand, seven hundred twenty".