1464952320 has 480 divisors, whose sum is σ = 5621327712. Its totient is φ = 350355456.

The previous prime is 1464952319. The next prime is 1464952327. The reversal of 1464952320 is 232594641.

It is a happy number.

1464952320 is a `hidden beast` number, since 1 + 4 + 649 + 5 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464952327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20067804 + ... + 20067876.

Almost surely, 2^1464952320 is an apocalyptic number.

1464952320 is a gapful number since it is divisible by the number (10) 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 1464952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810663856).

1464952320 is an abundant number, since it is smaller than the sum of its proper divisors (4156375392).

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

1464952320 is a wasteful number, since it uses less digits than its factorization.

1464952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1464952320 is about 38274.6955572477. The cubic root of 1464952320 is about 1135.7284281071.

The spelling of 1464952320 in words is "one billion, four hundred sixty-four million, nine hundred fifty-two thousand, three hundred twenty".