1451413000 has 64 divisors (see below), whose sum is σ = 3402126000. Its totient is φ = 579571200.

The previous prime is 1451412971. The next prime is 1451413001. The reversal of 1451413000 is 3141541.

It can be written as a sum of positive squares in 8 ways, for example, as 46212804 + 1405200196 = 6798^2 + 37486^2 .

It is not an unprimeable number, because it can be changed into a prime (1451413001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936226 + ... + 937774.

Almost surely, 2^1451413000 is an apocalyptic number.

1451413000 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 1451413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701063000).

1451413000 is an abundant number, since it is smaller than the sum of its proper divisors (1950713000).

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

1451413000 is a wasteful number, since it uses less digits than its factorization.

1451413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1451413000 is about 38097.4146104431. The cubic root of 1451413000 is about 1132.2187330945.

Adding to 1451413000 its reverse (3141541), we get a palindrome (1454554541).

The spelling of 1451413000 in words is "one billion, four hundred fifty-one million, four hundred thirteen thousand".