1464957312 has 384 divisors, whose sum is σ = 5010737760. Its totient is φ = 375717888.

The previous prime is 1464957289. The next prime is 1464957353. The reversal of 1464957312 is 2137594641.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime factors (210).

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, 12964168 + ... + 12964280.

Almost surely, 2^1464957312 is an apocalyptic number.

1464957312 is a gapful number since it is divisible by the number (12) 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 1464957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505368880).

1464957312 is an abundant number, since it is smaller than the sum of its proper divisors (3545780448).

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

1464957312 is a wasteful number, since it uses less digits than its factorization.

1464957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 1464957312 is about 38274.7607699905. The cubic root of 1464957312 is about 1135.7297181491.

The spelling of 1464957312 in words is "one billion, four hundred sixty-four million, nine hundred fifty-seven thousand, three hundred twelve".