387617472 has 168 divisors, whose sum is σ = 1223906112. Its totient is φ = 116313600.

The previous prime is 387617449. The next prime is 387617479. The reversal of 387617472 is 274716783.

It is not an unprimeable number, because it can be changed into a prime (387617479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829783 + ... + 830249.

Almost surely, 2^387617472 is an apocalyptic number.

387617472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611953056).

387617472 is an abundant number, since it is smaller than the sum of its proper divisors (836288640).

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

387617472 is a wasteful number, since it uses less digits than its factorization.

387617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 387617472 is about 19688.0032507108. The cubic root of 387617472 is about 729.1235318215.

The spelling of 387617472 in words is "three hundred eighty-seven million, six hundred seventeen thousand, four hundred seventy-two".