1382545400 has 48 divisors (see below), whose sum is σ = 3403509840. Its totient is φ = 520486400.

The previous prime is 1382545397. The next prime is 1382545403. The reversal of 1382545400 is 45452831.

It is an interprime number because it is at equal distance from previous prime (1382545397) and next prime (1382545403).

It is a super-2 number, since 2×1382545400² = 3822863566122320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382545403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199916 + ... + 206715.

It is an arithmetic number, because the mean of its divisors is an integer number (70906455).

Almost surely, 2^1382545400 is an apocalyptic number.

1382545400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382545400 is an abundant number, since it is smaller than the sum of its proper divisors (2020964440).

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

1382545400 is a wasteful number, since it uses less digits than its factorization.

1382545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406664 (or 406655 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1382545400 is about 37182.5953908546. The cubic root of 1382545400 is about 1114.0203746595.

The spelling of 1382545400 in words is "one billion, three hundred eighty-two million, five hundred forty-five thousand, four hundred".