381553416 has 80 divisors (see below), whose sum is σ = 1071576000. Its totient is φ = 126842976.

The previous prime is 381553411. The next prime is 381553429. The reversal of 381553416 is 614355183.

It is a super-2 number, since 2×381553416² = 291166018522538112, which contains 22 as substring.

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

Its product of digits (43200) is a multiple of the sum of its prime factors (1600).

It is not an unprimeable number, because it can be changed into a prime (381553411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 387661 + ... + 388643.

It is an arithmetic number, because the mean of its divisors is an integer number (13394700).

Almost surely, 2^381553416 is an apocalyptic number.

381553416 is a gapful number since it is divisible by the number (36) 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 381553416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535788000).

381553416 is an abundant number, since it is smaller than the sum of its proper divisors (690022584).

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

381553416 is a wasteful number, since it uses less digits than its factorization.

381553416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1587 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 381553416 is about 19533.3923321066. The cubic root of 381553416 is about 725.3012880147.

The spelling of 381553416 in words is "three hundred eighty-one million, five hundred fifty-three thousand, four hundred sixteen".