387492992 has 64 divisors (see below), whose sum is σ = 819223200. Its totient is φ = 182052864.

The previous prime is 387492991. The next prime is 387492997. The reversal of 387492992 is 299294783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×387492992² = 300301637698224128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (387492991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332603 + ... + 333765.

Almost surely, 2^387492992 is an apocalyptic number.

387492992 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 387492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409611600).

387492992 is an abundant number, since it is smaller than the sum of its proper divisors (431730208).

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

387492992 is a wasteful number, since it uses less digits than its factorization.

387492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 387492992 is about 19684.8416808467. The cubic root of 387492992 is about 729.0454728920.

The spelling of 387492992 in words is "three hundred eighty-seven million, four hundred ninety-two thousand, nine hundred ninety-two".