387557280 has 288 divisors, whose sum is σ = 1478917440. Its totient is φ = 91607040.

The previous prime is 387557267. The next prime is 387557281. The reversal of 387557280 is 82755783.

387557280 is a `hidden beast` number, since 3 + 8 + 75 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (387557281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680836 + ... + 681404.

It is an arithmetic number, because the mean of its divisors is an integer number (5135130).

Almost surely, 2^387557280 is an apocalyptic number.

387557280 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 387557280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

387557280 is an abundant number, since it is smaller than the sum of its proper divisors (1091360160).

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

387557280 is a wasteful number, since it uses less digits than its factorization.

387557280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 387557280 is about 19686.4745447223. The cubic root of 387557280 is about 729.0857887039.

The spelling of 387557280 in words is "three hundred eighty-seven million, five hundred fifty-seven thousand, two hundred eighty".