1382552496 has 240 divisors, whose sum is σ = 4452170400. Its totient is φ = 410102784.

The previous prime is 1382552473. The next prime is 1382552531. The reversal of 1382552496 is 6942552831.

1382552496 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 552 + 4 + 96 = 666.

It is a super-2 number, since 2×1382552496² = 3822902808391660032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2116906 + ... + 2117558.

It is an arithmetic number, because the mean of its divisors is an integer number (18550710).

Almost surely, 2^1382552496 is an apocalyptic number.

1382552496 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 1382552496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226085200).

1382552496 is an abundant number, since it is smaller than the sum of its proper divisors (3069617904).

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

1382552496 is a wasteful number, since it uses less digits than its factorization.

1382552496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1382552496 is about 37182.6908117204. The cubic root of 1382552496 is about 1114.0222805824.

It can be divided in two parts, 1382 and 552496, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 1382552496 in words is "one billion, three hundred eighty-two million, five hundred fifty-two thousand, four hundred ninety-six".