1451274240 has 416 divisors, whose sum is σ = 5284177920. Its totient is φ = 337379328.

The previous prime is 1451274197. The next prime is 1451274299. The reversal of 1451274240 is 424721541.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1451274198 and 1451274207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18370521 + ... + 18370599.

Almost surely, 2^1451274240 is an apocalyptic number.

1451274240 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 1451274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642088960).

1451274240 is an abundant number, since it is smaller than the sum of its proper divisors (3832903680).

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

1451274240 is a wasteful number, since it uses less digits than its factorization.

1451274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 1451274240 is about 38095.5934459617. The cubic root of 1451274240 is about 1132.1826506291.

Adding to 1451274240 its reverse (424721541), we get a palindrome (1875995781).

The spelling of 1451274240 in words is "one billion, four hundred fifty-one million, two hundred seventy-four thousand, two hundred forty".