1464880032 has 384 divisors, whose sum is σ = 5405460480. Its totient is φ = 374906880.

The previous prime is 1464880019. The next prime is 1464880057. The reversal of 1464880032 is 2300884641.

1464880032 is a `hidden beast` number, since 1 + 4 + 648 + 8 + 0 + 0 + 3 + 2 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 6453103 + ... + 6453329.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2^1464880032 is an apocalyptic number.

1464880032 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 1464880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702730240).

1464880032 is an abundant number, since it is smaller than the sum of its proper divisors (3940580448).

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

1464880032 is a wasteful number, since it uses less digits than its factorization.

1464880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1464880032 is about 38273.7512141154. The cubic root of 1464880032 is about 1135.7097469788.

The spelling of 1464880032 in words is "one billion, four hundred sixty-four million, eight hundred eighty thousand, thirty-two".