1451988 has 36 divisors (see below), whose sum is σ = 3744468. Its totient is φ = 474240.

The previous prime is 1451969. The next prime is 1452047. The reversal of 1451988 is 8891541.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 1077444 = 612^2 + 1038^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1528 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

2^1451988 is an apocalyptic number.

1451988 is a gapful number since it is divisible by the number (18) 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 1451988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872234).

1451988 is an abundant number, since it is smaller than the sum of its proper divisors (2292480).

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

1451988 is a wasteful number, since it uses less digits than its factorization.

1451988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1451988 is about 1204.9846472051. The cubic root of 1451988 is about 113.2368228751.

The spelling of 1451988 in words is "one million, four hundred fifty-one thousand, nine hundred eighty-eight".