1451880 has 96 divisors (see below), whose sum is σ = 4890600. Its totient is φ = 373248.

The previous prime is 1451867. The next prime is 1451893. The reversal of 1451880 is 881541.

It is an interprime number because it is at equal distance from previous prime (1451867) and next prime (1451893).

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 26244 = 1194^2 + 162^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13266 + ... + 13374.

2^1451880 is an apocalyptic number.

1451880 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 1451880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445300).

1451880 is an abundant number, since it is smaller than the sum of its proper divisors (3438720).

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

1451880 is a wasteful number, since it uses less digits than its factorization.

1451880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1451880 is about 1204.9398325228. The cubic root of 1451880 is about 113.2340152578.

It can be divided in two parts, 145 and 1880, that added together give a square (2025 = 45²).

The spelling of 1451880 in words is "one million, four hundred fifty-one thousand, eight hundred eighty".