387480 has 32 divisors (see below), whose sum is σ = 1162800. Its totient is φ = 103296.

The previous prime is 387463. The next prime is 387493. The reversal of 387480 is 84783.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495 + ... + 1734.

2³⁸⁷⁴⁸⁰ is an apocalyptic number.

387480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387480 is an abundant number, since it is smaller than the sum of its proper divisors (775320).

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

387480 is a wasteful number, since it uses less digits than its factorization.

387480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 387480 is about 622.4789153056. The cubic root of 387480 is about 72.9037324904.

The spelling of 387480 in words is "three hundred eighty-seven thousand, four hundred eighty".