387256720 has 80 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 147392000.

The previous prime is 387256693. The next prime is 387256739. The reversal of 387256720 is 27652783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 163545 + ... + 165895.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 2^387256720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

387256720 is an abundant number, since it is smaller than the sum of its proper divisors (557682800).

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

387256720 is a wasteful number, since it uses less digits than its factorization.

387256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 387256720 is about 19678.8393966717. The cubic root of 387256720 is about 728.8972654341.

The spelling of 387256720 in words is "three hundred eighty-seven million, two hundred fifty-six thousand, seven hundred twenty".