1464315372 has 108 divisors (see below), whose sum is σ = 4049476704. Its totient is φ = 445910400.

The previous prime is 1464315371. The next prime is 1464315373. The reversal of 1464315372 is 2735134641.

1464315372 is a `hidden beast` number, since 1 + 4 + 643 + 1 + 5 + 3 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1464315371) and next prime (1464315373).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (60480) is a multiple of the sum of its prime factors (2520).

It is not an unprimeable number, because it can be changed into a prime (1464315371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 613293 + ... + 615675.

Almost surely, 2^1464315372 is an apocalyptic number.

1464315372 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 1464315372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024738352).

1464315372 is an abundant number, since it is smaller than the sum of its proper divisors (2585161332).

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

1464315372 is a wasteful number, since it uses less digits than its factorization.

1464315372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2502 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 1464315372 is about 38266.3739071263. The cubic root of 1464315372 is about 1135.5638027677.

The spelling of 1464315372 in words is "one billion, four hundred sixty-four million, three hundred fifteen thousand, three hundred seventy-two".