1451427264 has 168 divisors, whose sum is σ = 4918923360. Its totient is φ = 400361472.

The previous prime is 1451427253. The next prime is 1451427283. The reversal of 1451427264 is 4627241541.

1451427264 is a `hidden beast` number, since 14 + 514 + 2 + 72 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1451427264² = 4213282205365051392, 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110722 + ... + 123134.

Almost surely, 2^1451427264 is an apocalyptic number.

1451427264 is a gapful number since it is divisible by the number (14) 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 1451427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459461680).

1451427264 is an abundant number, since it is smaller than the sum of its proper divisors (3467496096).

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

1451427264 is a wasteful number, since it uses less digits than its factorization.

1451427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467 (or 12454 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1451427264 is about 38097.6018142875. The cubic root of 1451427264 is about 1132.2224421043. Note that the first 3 decimals are identical.

The spelling of 1451427264 in words is "one billion, four hundred fifty-one million, four hundred twenty-seven thousand, two hundred sixty-four".