384726740 has 72 divisors (see below), whose sum is σ = 858976776. Its totient is φ = 144633600.

The previous prime is 384726737. The next prime is 384726743. The reversal of 384726740 is 47627483.

It is an interprime number because it is at equal distance from previous prime (384726737) and next prime (384726743).

It can be written as a sum of positive squares in 4 ways, for example, as 87647044 + 297079696 = 9362^2 + 17236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384726743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710870 + ... + 711410.

It is an arithmetic number, because the mean of its divisors is an integer number (11930233).

Almost surely, 2^384726740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384726740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429488388).

384726740 is an abundant number, since it is smaller than the sum of its proper divisors (474250036).

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

384726740 is a wasteful number, since it uses less digits than its factorization.

384726740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 384726740 is about 19614.4523247528. The cubic root of 384726740 is about 727.3064808861.

The spelling of 384726740 in words is "three hundred eighty-four million, seven hundred twenty-six thousand, seven hundred forty".