381210624 has 156 divisors (see below), whose sum is σ = 1144905216. Its totient is φ = 126738432.

The previous prime is 381210559. The next prime is 381210631. The reversal of 381210624 is 426012183.

381210624 is a `hidden beast` number, since 38 + 1 + 2 + 1 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 995137 + ... + 995519.

It is an arithmetic number, because the mean of its divisors is an integer number (7339136).

Almost surely, 2^381210624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381210624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572452608).

381210624 is an abundant number, since it is smaller than the sum of its proper divisors (763694592).

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

381210624 is an frugal number, since it uses more digits than its factorization.

381210624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 388 counting only the distinct ones).

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

The square root of 381210624 is about 19524.6158476934. The cubic root of 381210624 is about 725.0840165812.

The spelling of 381210624 in words is "three hundred eighty-one million, two hundred ten thousand, six hundred twenty-four".