385410720 has 192 divisors, whose sum is σ = 1264564224. Its totient is φ = 98595840.

The previous prime is 385410709. The next prime is 385410803. The reversal of 385410720 is 27014583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465309 + ... + 1465571.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^385410720 is an apocalyptic number.

385410720 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 385410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632282112).

385410720 is an abundant number, since it is smaller than the sum of its proper divisors (879153504).

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

385410720 is a wasteful number, since it uses less digits than its factorization.

385410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 385410720 is about 19631.8801952335. The cubic root of 385410720 is about 727.7372356043.

The spelling of 385410720 in words is "three hundred eighty-five million, four hundred ten thousand, seven hundred twenty".