381251640 has 320 divisors, whose sum is σ = 1484236800. Its totient is φ = 76665600.

The previous prime is 381251627. The next prime is 381251653. The reversal of 381251640 is 46152183.

It is an interprime number because it is at equal distance from previous prime (381251627) and next prime (381251653).

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

It is a junction number, because it is equal to n+sod(n) for n = 381251598 and 381251607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12298425 + ... + 12298455.

It is an arithmetic number, because the mean of its divisors is an integer number (4638240).

Almost surely, 2^381251640 is an apocalyptic number.

381251640 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 381251640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742118400).

381251640 is an abundant number, since it is smaller than the sum of its proper divisors (1102985160).

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

381251640 is a wasteful number, since it uses less digits than its factorization.

381251640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 381251640 is about 19525.6661858181. Note that the first 3 decimals coincide. The cubic root of 381251640 is about 725.1100205605.

The spelling of 381251640 in words is "three hundred eighty-one million, two hundred fifty-one thousand, six hundred forty".