1453567680 has 448 divisors, whose sum is σ = 5438607360. Its totient is φ = 369515520.

The previous prime is 1453567627. The next prime is 1453567699. The reversal of 1453567680 is 867653541.

1453567680 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 567 + 6 + 80 = 666.

It is a super-2 number, since 2×1453567680² = 4225718000681164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21695007 + ... + 21695073.

Almost surely, 2^1453567680 is an apocalyptic number.

1453567680 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 1453567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719303680).

1453567680 is an abundant number, since it is smaller than the sum of its proper divisors (3985039680).

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

1453567680 is an frugal number, since it uses more digits than its factorization.

1453567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1453567680 is about 38125.6826824124. The cubic root of 1453567680 is about 1132.7787305688.

It can be divided in two parts, 14535 and 67680, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 1453567680 in words is "one billion, four hundred fifty-three million, five hundred sixty-seven thousand, six hundred eighty".