1464302640 has 120 divisors (see below), whose sum is σ = 4791108528. Its totient is φ = 369907200.

The previous prime is 1464302627. The next prime is 1464302657. The reversal of 1464302640 is 462034641.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1464302598 and 1464302607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78190 + ... + 95090.

Almost surely, 2^1464302640 is an apocalyptic number.

1464302640 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 1464302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395554264).

1464302640 is an abundant number, since it is smaller than the sum of its proper divisors (3326805888).

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

1464302640 is a wasteful number, since it uses less digits than its factorization.

1464302640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16955 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1464302640 is about 38266.2075466070. The cubic root of 1464302640 is about 1135.5605115732.

The spelling of 1464302640 in words is "one billion, four hundred sixty-four million, three hundred two thousand, six hundred forty".