1451261916 has 144 divisors (see below), whose sum is σ = 4237833600. Its totient is φ = 414775296.

The previous prime is 1451261849. The next prime is 1451261921. The reversal of 1451261916 is 6191621541.

1451261916 is a `hidden beast` number, since 14 + 5 + 12 + 619 + 16 = 666.

It is a super-2 number, since 2×1451261916² = 4212322297663982112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 627370 + ... + 629678.

It is an arithmetic number, because the mean of its divisors is an integer number (29429400).

Almost surely, 2^1451261916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451261916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118916800).

1451261916 is an abundant number, since it is smaller than the sum of its proper divisors (2786571684).

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

1451261916 is a wasteful number, since it uses less digits than its factorization.

1451261916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2423 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1451261916 is about 38095.4316946271. The cubic root of 1451261916 is about 1132.1794458457.

The spelling of 1451261916 in words is "one billion, four hundred fifty-one million, two hundred sixty-one thousand, nine hundred sixteen".