1451131220 has 144 divisors (see below), whose sum is σ = 4054095360. Its totient is φ = 425610240.

The previous prime is 1451131211. The next prime is 1451131229. The reversal of 1451131220 is 221311541.

It is an interprime number because it is at equal distance from previous prime (1451131211) and next prime (1451131229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1451131192 and 1451131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451131229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285461 + ... + 290499.

It is an arithmetic number, because the mean of its divisors is an integer number (28153440).

Almost surely, 2^1451131220 is an apocalyptic number.

1451131220 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 1451131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027047680).

1451131220 is an abundant number, since it is smaller than the sum of its proper divisors (2602964140).

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

1451131220 is a wasteful number, since it uses less digits than its factorization.

1451131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1451131220 is about 38093.7162797226. The cubic root of 1451131220 is about 1132.1454580072.

Adding to 1451131220 its reverse (221311541), we get a palindrome (1672442761).

The spelling of 1451131220 in words is "one billion, four hundred fifty-one million, one hundred thirty-one thousand, two hundred twenty".