381498624 has 216 divisors, whose sum is σ = 1214234112. Its totient is φ = 114462720.

The previous prime is 381498571. The next prime is 381498647. The reversal of 381498624 is 426894183.

It is a happy number.

381498624 is a `hidden beast` number, since 3 + 8 + 14 + 9 + 8 + 624 = 666.

It is a super-2 number, since 2×381498624² = 291082400227786752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 381498624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407609 + ... + 1407879.

Almost surely, 2^381498624 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 381498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607117056).

381498624 is an abundant number, since it is smaller than the sum of its proper divisors (832735488).

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

381498624 is a wasteful number, since it uses less digits than its factorization.

381498624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 381498624 is about 19531.9897603905. The cubic root of 381498624 is about 725.2665680088.

The spelling of 381498624 in words is "three hundred eighty-one million, four hundred ninety-eight thousand, six hundred twenty-four".