1382434560 has 576 divisors, whose sum is σ = 5624760960. Its totient is φ = 318504960.

The previous prime is 1382434519. The next prime is 1382434561. The reversal of 1382434560 is 654342831.

1382434560 is a `hidden beast` number, since 13 + 82 + 4 + 3 + 4 + 560 = 666.

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

It is a super-2 number, since 2×1382434560² = 3822250625364787200, which contains 22 as substring.

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 (1382434561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637670 + ... + 7637850.

It is an arithmetic number, because the mean of its divisors is an integer number (9765210).

Almost surely, 2^1382434560 is an apocalyptic number.

1382434560 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 1382434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812380480).

1382434560 is an abundant number, since it is smaller than the sum of its proper divisors (4242326400).

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

1382434560 is a wasteful number, since it uses less digits than its factorization.

1382434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

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

The square root of 1382434560 is about 37181.1048786880. The cubic root of 1382434560 is about 1113.9906031674.

It can be divided in two parts, 13824 and 34560, that added together give a palindrome (48384).

The spelling of 1382434560 in words is "one billion, three hundred eighty-two million, four hundred thirty-four thousand, five hundred sixty".