1451154240 has 168 divisors, whose sum is σ = 5006769768. Its totient is φ = 385781760.

The previous prime is 1451154233. The next prime is 1451154247. The reversal of 1451154240 is 424511541.

It is an interprime number because it is at equal distance from previous prime (1451154233) and next prime (1451154247).

It can be written as a sum of positive squares in 4 ways, for example, as 412252416 + 1038901824 = 20304^2 + 32232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451154247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327134 + ... + 1328226.

It is an arithmetic number, because the mean of its divisors is an integer number (29802201).

Almost surely, 2^1451154240 is an apocalyptic number.

1451154240 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 1451154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503384884).

1451154240 is an abundant number, since it is smaller than the sum of its proper divisors (3555615528).

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

1451154240 is a wasteful number, since it uses less digits than its factorization.

1451154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1451154240 is about 38094.0184280945. The cubic root of 1451154240 is about 1132.1514445668.

Adding to 1451154240 its reverse (424511541), we get a palindrome (1875665781).

The spelling of 1451154240 in words is "one billion, four hundred fifty-one million, one hundred fifty-four thousand, two hundred forty".