1382451200 has 288 divisors, whose sum is σ = 3867252480. Its totient is φ = 486604800.

The previous prime is 1382451197. The next prime is 1382451221. The reversal of 1382451200 is 21542831.

It is a super-2 number, since 2×1382451200² = 3822342640762880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1382451200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20633567 + ... + 20633633.

It is an arithmetic number, because the mean of its divisors is an integer number (13427960).

Almost surely, 2^1382451200 is an apocalyptic number.

1382451200 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 1382451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

1382451200 is an abundant number, since it is smaller than the sum of its proper divisors (2484801280).

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

1382451200 is a wasteful number, since it uses less digits than its factorization.

1382451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1382451200 is about 37181.3286475887. The cubic root of 1382451200 is about 1113.9950727531.

The spelling of 1382451200 in words is "one billion, three hundred eighty-two million, four hundred fifty-one thousand, two hundred".