381992400 has 90 divisors (see below), whose sum is σ = 1325632230. Its totient is φ = 101863680.

The previous prime is 381992389. The next prime is 381992407. The reversal of 381992400 is 4299183.

It can be written as a sum of positive squares in 3 ways, for example, as 113294736 + 268697664 = 10644^2 + 16392^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381992407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49455 + ... + 56654.

It is an arithmetic number, because the mean of its divisors is an integer number (14729247).

Almost surely, 2^381992400 is an apocalyptic number.

381992400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381992400 is an abundant number, since it is smaller than the sum of its proper divisors (943639830).

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

381992400 is a wasteful number, since it uses less digits than its factorization.

381992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106133 (or 106119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 381992400 is about 19544.6258598112. The cubic root of 381992400 is about 725.5793387573.

The spelling of 381992400 in words is "three hundred eighty-one million, nine hundred ninety-two thousand, four hundred".