1456640640 has 576 divisors, whose sum is σ = 6317143560. Its totient is φ = 306561024.

The previous prime is 1456640611. The next prime is 1456640651. The reversal of 1456640640 is 460466541.

1456640640 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1029639744 + 427000896 = 32088^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 1456640595 and 1456640604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668922 + ... + 3669318.

Almost surely, 2^1456640640 is an apocalyptic number.

1456640640 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 1456640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158571780).

1456640640 is an abundant number, since it is smaller than the sum of its proper divisors (4860502920).

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

1456640640 is a wasteful number, since it uses less digits than its factorization.

1456640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1456640640 is about 38165.9617984402. The cubic root of 1456640640 is about 1133.5764307436.

The spelling of 1456640640 in words is "one billion, four hundred fifty-six million, six hundred forty thousand, six hundred forty".