387693504 has 168 divisors, whose sum is σ = 1241340672. Its totient is φ = 114670080.

The previous prime is 387693479. The next prime is 387693521. The reversal of 387693504 is 405396783.

387693504 is a `hidden beast` number, since 3 + 87 + 69 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 387693504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271737 + ... + 273159.

Almost surely, 2^387693504 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 387693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620670336).

387693504 is an abundant number, since it is smaller than the sum of its proper divisors (853647168).

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

387693504 is a wasteful number, since it uses less digits than its factorization.

387693504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 387693504 is about 19689.9340781019. The cubic root of 387693504 is about 729.1712017539.

The spelling of 387693504 in words is "three hundred eighty-seven million, six hundred ninety-three thousand, five hundred four".