387490824 has 192 divisors, whose sum is σ = 1293580800. Its totient is φ = 107049600.

The previous prime is 387490811. The next prime is 387490871. The reversal of 387490824 is 428094783.

387490824 is a `hidden beast` number, since 3 + 87 + 490 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 387490824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327514 + ... + 328694.

It is an arithmetic number, because the mean of its divisors is an integer number (6737400).

Almost surely, 2^387490824 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 387490824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646790400).

387490824 is an abundant number, since it is smaller than the sum of its proper divisors (906089976).

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

387490824 is a wasteful number, since it uses less digits than its factorization.

387490824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 387490824 is about 19684.7866130167. The cubic root of 387490824 is about 729.0441132343.

The spelling of 387490824 in words is "three hundred eighty-seven million, four hundred ninety thousand, eight hundred twenty-four".