387893120 has 32 divisors (see below), whose sum is σ = 927308520. Its totient is φ = 155156992.

The previous prime is 387893119. The next prime is 387893147. The reversal of 387893120 is 21398783.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×387893120² = 300922145086668800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302402 + ... + 303681.

Almost surely, 2^387893120 is an apocalyptic number.

It is an amenable number.

387893120 is an abundant number, since it is smaller than the sum of its proper divisors (539415400).

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

387893120 is an equidigital number, since it uses as much as digits as its factorization.

387893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606102 (or 606090 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 387893120 is about 19695.0024117795. The cubic root of 387893120 is about 729.2963257356.

The spelling of 387893120 in words is "three hundred eighty-seven million, eight hundred ninety-three thousand, one hundred twenty".