382264740 has 144 divisors (see below), whose sum is σ = 1362344256. Its totient is φ = 85536000.

The previous prime is 382264739. The next prime is 382264777. The reversal of 382264740 is 47462283.

382264740 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 647 + 4 + 0 = 666.

It is a super-2 number, since 2×382264740² = 292252662894535200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 382264695 and 382264704.

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, 18315 + ... + 33165.

It is an arithmetic number, because the mean of its divisors is an integer number (9460724).

Almost surely, 2^382264740 is an apocalyptic number.

382264740 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 382264740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681172128).

382264740 is an abundant number, since it is smaller than the sum of its proper divisors (980079516).

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

382264740 is a wasteful number, since it uses less digits than its factorization.

382264740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14890 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 382264740 is about 19551.5917510570. The cubic root of 382264740 is about 725.7517307868.

The spelling of 382264740 in words is "three hundred eighty-two million, two hundred sixty-four thousand, seven hundred forty".