381450720 has 192 divisors, whose sum is σ = 1387362816. Its totient is φ = 86292480.

The previous prime is 381450683. The next prime is 381450733. The reversal of 381450720 is 27054183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358990 + ... + 360050.

It is an arithmetic number, because the mean of its divisors is an integer number (7225848).

Almost surely, 2^381450720 is an apocalyptic number.

381450720 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 381450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693681408).

381450720 is an abundant number, since it is smaller than the sum of its proper divisors (1005912096).

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

381450720 is a wasteful number, since it uses less digits than its factorization.

381450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 381450720 is about 19530.7634259391. The cubic root of 381450720 is about 725.2362099928.

The spelling of 381450720 in words is "three hundred eighty-one million, four hundred fifty thousand, seven hundred twenty".