385433730 has 96 divisors (see below), whose sum is σ = 1096737408. Its totient is φ = 93139200.

The previous prime is 385433689. The next prime is 385433749. The reversal of 385433730 is 37334583.

It is a happy number.

385433730 is a nontrivial binomial coefficient, being equal to C(27765, 2).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 610515 + ... + 611145.

It is an arithmetic number, because the mean of its divisors is an integer number (11424348).

Almost surely, 2^385433730 is an apocalyptic number.

385433730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385433730 is the 27764-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385433730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548368704).

385433730 is an abundant number, since it is smaller than the sum of its proper divisors (711303678).

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

385433730 is a wasteful number, since it uses less digits than its factorization.

385433730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 385433730 is about 19632.4662230704. The cubic root of 385433730 is about 727.7517179039.

The spelling of 385433730 in words is "three hundred eighty-five million, four hundred thirty-three thousand, seven hundred thirty".