1464072256 has 112 divisors (see below), whose sum is σ = 3089940480. Its totient is φ = 687536640.

The previous prime is 1464072229. The next prime is 1464072289. The reversal of 1464072256 is 6522704641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11528065 + ... + 11528191.

Almost surely, 2^1464072256 is an apocalyptic number.

1464072256 is a gapful number since it is divisible by the number (16) 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 1464072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544970240).

1464072256 is an abundant number, since it is smaller than the sum of its proper divisors (1625868224).

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

1464072256 is a wasteful number, since it uses less digits than its factorization.

1464072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 1464072256 is about 38263.1971481736. The cubic root of 1464072256 is about 1135.5009545100.

Adding to 1464072256 its reverse (6522704641), we get a palindrome (7986776897).

The spelling of 1464072256 in words is "one billion, four hundred sixty-four million, seventy-two thousand, two hundred fifty-six".