387348480 has 240 divisors, whose sum is σ = 1391349960. Its totient is φ = 103071744.

The previous prime is 387348419. The next prime is 387348509. The reversal of 387348480 is 84843783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 829207 + ... + 829673.

Almost surely, 2^387348480 is an apocalyptic number.

387348480 is a gapful number since it is divisible by the number (30) 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 387348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695674980).

387348480 is an abundant number, since it is smaller than the sum of its proper divisors (1004001480).

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

387348480 is an equidigital number, since it uses as much as digits as its factorization.

387348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 387348480 is about 19681.1706968869. The cubic root of 387348480 is about 728.9548313222.

The spelling of 387348480 in words is "three hundred eighty-seven million, three hundred forty-eight thousand, four hundred eighty".