1464679125 has 256 divisors, whose sum is σ = 3522355200. Its totient is φ = 583200000.

The previous prime is 1464679067. The next prime is 1464679127. The reversal of 1464679125 is 5219764641.

1464679125 = 2926² + 2927² + ... + 3087².

1464679125 is a `hidden beast` number, since 1 + 464 + 67 + 9 + 125 = 666.

It is not a de Polignac number, because 1464679125 - 2⁷ = 1464678997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464679127) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5835250 + ... + 5835500.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^1464679125 is an apocalyptic number.

1464679125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1464679125 is an abundant number, since it is smaller than the sum of its proper divisors (2057676075).

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

1464679125 is a wasteful number, since it uses less digits than its factorization.

1464679125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1464679125 is about 38271.1265185649. The cubic root of 1464679125 is about 1135.6578240761.

The spelling of 1464679125 in words is "one billion, four hundred sixty-four million, six hundred seventy-nine thousand, one hundred twenty-five".