387413280 has 240 divisors, whose sum is σ = 1383117120. Its totient is φ = 102117888.

The previous prime is 387413267. The next prime is 387413281. The reversal of 387413280 is 82314783.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (387413281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2164231 + ... + 2164409.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2^387413280 is an apocalyptic number.

387413280 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 387413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691558560).

387413280 is an abundant number, since it is smaller than the sum of its proper divisors (995703840).

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

387413280 is a wasteful number, since it uses less digits than its factorization.

387413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 387413280 is about 19682.8168715761. The cubic root of 387413280 is about 728.9954783035.

The spelling of 387413280 in words is "three hundred eighty-seven million, four hundred thirteen thousand, two hundred eighty".