1382468640 has 96 divisors (see below), whose sum is σ = 4976899200. Its totient is φ = 315992064.

The previous prime is 1382468617. The next prime is 1382468651. The reversal of 1382468640 is 468642831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1382468640² = 3822439081166899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1382468592 and 1382468601.

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, 202365 + ... + 209084.

It is an arithmetic number, because the mean of its divisors is an integer number (51842700).

Almost surely, 2^1382468640 is an apocalyptic number.

1382468640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382468640 is an abundant number, since it is smaller than the sum of its proper divisors (3594430560).

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

1382468640 is a wasteful number, since it uses less digits than its factorization.

1382468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411474 (or 411466 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1382468640 is about 37181.5631731642. The cubic root of 1382468640 is about 1113.9997571842. Note that the first 3 decimals are identical.

The spelling of 1382468640 in words is "one billion, three hundred eighty-two million, four hundred sixty-eight thousand, six hundred forty".