1451000464 has 45 divisors (see below), whose sum is σ = 2870076937. Its totient is φ = 710644352.

The previous prime is 1451000459. The next prime is 1451000483. The reversal of 1451000464 is 4640001541.

The square root of 1451000464 is 38092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 278622864 + 1172377600 = 16692^2 + 34240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13560699 + ... + 13560805.

Almost surely, 2^1451000464 is an apocalyptic number.

1451000464 is the 38092-nd square number.

It is an amenable number.

1451000464 is a deficient number, since it is larger than the sum of its proper divisors (1419076473).

1451000464 is an frugal number, since it uses more digits than its factorization.

1451000464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 1451000464 is about 1132.1114525233. Note that the first 3 decimals are identical.

Multiplying 1451000464 by its sum of digits (25), we get a square (36275011600 = 190460²).

The spelling of 1451000464 in words is "one billion, four hundred fifty-one million, four hundred sixty-four", and thus it is an aban number.