381290720 has 48 divisors (see below), whose sum is σ = 909105120. Its totient is φ = 151110144.

The previous prime is 381290719. The next prime is 381290737. The reversal of 381290720 is 27092183.

It is a super-2 number, since 2×381290720² = 290765226316236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6509 + ... + 28371.

It is an arithmetic number, because the mean of its divisors is an integer number (18939690).

Almost surely, 2^381290720 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 381290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454552560).

381290720 is an abundant number, since it is smaller than the sum of its proper divisors (527814400).

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

381290720 is a wasteful number, since it uses less digits than its factorization.

381290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21987 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 381290720 is about 19526.6668942756. Note that the first 3 decimals coincide. The cubic root of 381290720 is about 725.1347953885.

The spelling of 381290720 in words is "three hundred eighty-one million, two hundred ninety thousand, seven hundred twenty".