387466560 has 336 divisors, whose sum is σ = 1464503040. Its totient is φ = 93450240.

The previous prime is 387466549. The next prime is 387466589. The reversal of 387466560 is 65664783.

387466560 is a `hidden beast` number, since 3 + 87 + 4 + 6 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2957695 + ... + 2957825.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^387466560 is an apocalyptic number.

387466560 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 387466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732251520).

387466560 is an abundant number, since it is smaller than the sum of its proper divisors (1077036480).

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

387466560 is a wasteful number, since it uses less digits than its factorization.

387466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 387466560 is about 19684.1702898547. The cubic root of 387466560 is about 729.0288957595.

The spelling of 387466560 in words is "three hundred eighty-seven million, four hundred sixty-six thousand, five hundred sixty".