1451414940 has 144 divisors (see below), whose sum is σ = 4334365728. Its totient is φ = 362815488.

The previous prime is 1451414891. The next prime is 1451414963. The reversal of 1451414940 is 494141541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447284 + ... + 2447876.

It is an arithmetic number, because the mean of its divisors is an integer number (30099762).

Almost surely, 2^1451414940 is an apocalyptic number.

1451414940 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 1451414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167182864).

1451414940 is an abundant number, since it is smaller than the sum of its proper divisors (2882950788).

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

1451414940 is a wasteful number, since it uses less digits than its factorization.

1451414940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1451414940 is about 38097.4400714799. The cubic root of 1451414940 is about 1132.2192375462.

The spelling of 1451414940 in words is "one billion, four hundred fifty-one million, four hundred fourteen thousand, nine hundred forty".