384749820 has 288 divisors, whose sum is σ = 1458842112. Its totient is φ = 79916544.

The previous prime is 384749803. The next prime is 384749837. The reversal of 384749820 is 28947483.

It is an interprime number because it is at equal distance from previous prime (384749803) and next prime (384749837).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1359399 + ... + 1359681.

It is an arithmetic number, because the mean of its divisors is an integer number (5065424).

Almost surely, 2^384749820 is an apocalyptic number.

384749820 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 384749820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729421056).

384749820 is an abundant number, since it is smaller than the sum of its proper divisors (1074092292).

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

384749820 is a wasteful number, since it uses less digits than its factorization.

384749820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 384749820 is about 19615.0406576178. The cubic root of 384749820 is about 727.3210244536.

The spelling of 384749820 in words is "three hundred eighty-four million, seven hundred forty-nine thousand, eight hundred twenty".