1453812880 has 80 divisors (see below), whose sum is σ = 3738604464. Its totient is φ = 522270720.

The previous prime is 1453812863. The next prime is 1453812907. The reversal of 1453812880 is 882183541.

It can be written as a sum of positive squares in 8 ways, for example, as 28901376 + 1424911504 = 5376^2 + 37748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1453812880² = 4227143780107788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19590 + ... + 57370.

Almost surely, 2^1453812880 is an apocalyptic number.

1453812880 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 1453812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869302232).

1453812880 is an abundant number, since it is smaller than the sum of its proper divisors (2284791584).

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

1453812880 is a wasteful number, since it uses less digits than its factorization.

1453812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37844 (or 37838 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 1453812880 is about 38128.8982269354. The cubic root of 1453812880 is about 1132.8424225298.

The spelling of 1453812880 in words is "one billion, four hundred fifty-three million, eight hundred twelve thousand, eight hundred eighty".