385332480 has 432 divisors, whose sum is σ = 1499936256. Its totient is φ = 90685440.

The previous prime is 385332469. The next prime is 385332487. The reversal of 385332480 is 84233583.

385332480 is a `hidden beast` number, since 385 + 33 + 248 + 0 = 666.

It is a super-2 number, since 2×385332480² = 296962240285900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385332487) 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, 4642519 + ... + 4642601.

Almost surely, 2^385332480 is an apocalyptic number.

385332480 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 385332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749968128).

385332480 is an abundant number, since it is smaller than the sum of its proper divisors (1114603776).

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

385332480 is a wasteful number, since it uses less digits than its factorization.

385332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 385332480 is about 19629.8874168957. The cubic root of 385332480 is about 727.6879876967.

The spelling of 385332480 in words is "three hundred eighty-five million, three hundred thirty-two thousand, four hundred eighty".