1382504240 has 160 divisors (see below), whose sum is σ = 3738510720. Its totient is φ = 471195648.

The previous prime is 1382504131. The next prime is 1382504257. The reversal of 1382504240 is 424052831.

It is a happy number.

It is a super-2 number, since 2×1382504240² = 3822635947235955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692684 + ... + 694676.

It is an arithmetic number, because the mean of its divisors is an integer number (23365692).

Almost surely, 2^1382504240 is an apocalyptic number.

1382504240 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 1382504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869255360).

1382504240 is an abundant number, since it is smaller than the sum of its proper divisors (2356006480).

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

1382504240 is a wasteful number, since it uses less digits than its factorization.

1382504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1382504240 is about 37182.0419019720. The cubic root of 1382504240 is about 1114.0093193182.

The spelling of 1382504240 in words is "one billion, three hundred eighty-two million, five hundred four thousand, two hundred forty".