1453664880 has 480 divisors, whose sum is σ = 5433652224. Its totient is φ = 360557568.

The previous prime is 1453664879. The next prime is 1453664893. The reversal of 1453664880 is 884663541.

It is a super-2 number, since 2×1453664880² = 4226283166690828800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30929017 + ... + 30929063.

Almost surely, 2^1453664880 is an apocalyptic number.

1453664880 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 1453664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716826112).

1453664880 is an abundant number, since it is smaller than the sum of its proper divisors (3979987344).

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

1453664880 is a wasteful number, since it uses less digits than its factorization.

1453664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1453664880 is about 38126.9573923753. The cubic root of 1453664880 is about 1132.8039796255.

The spelling of 1453664880 in words is "one billion, four hundred fifty-three million, six hundred sixty-four thousand, eight hundred eighty".