381612240 has 60 divisors (see below), whose sum is σ = 1281583524. Its totient is φ = 101763072.

The previous prime is 381612193. The next prime is 381612269. The reversal of 381612240 is 42216183.

381612240 is a `hidden beast` number, since 3 + 8 + 1 + 612 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 319265424 = 7896^2 + 17868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264289 + ... + 265728.

Almost surely, 2^381612240 is an apocalyptic number.

381612240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381612240 is an abundant number, since it is smaller than the sum of its proper divisors (899971284).

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

381612240 is a wasteful number, since it uses less digits than its factorization.

381612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530036 (or 530027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 381612240 is about 19534.8980033170. The cubic root of 381612240 is about 725.3385592755.

It can be divided in two parts, 38161 and 2240, that added together give a square (40401 = 201²).

The spelling of 381612240 in words is "three hundred eighty-one million, six hundred twelve thousand, two hundred forty".