385641480 has 256 divisors, whose sum is σ = 1415116800. Its totient is φ = 82114560.

The previous prime is 385641479. The next prime is 385641493. The reversal of 385641480 is 84146583.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164915 + ... + 1165245.

It is an arithmetic number, because the mean of its divisors is an integer number (5527800).

Almost surely, 2^385641480 is an apocalyptic number.

385641480 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 385641480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707558400).

385641480 is an abundant number, since it is smaller than the sum of its proper divisors (1029475320).

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

385641480 is a wasteful number, since it uses less digits than its factorization.

385641480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 385641480 is about 19637.7564910048. The cubic root of 385641480 is about 727.8824479117.

The spelling of 385641480 in words is "three hundred eighty-five million, six hundred forty-one thousand, four hundred eighty".