387412459740 has 768 divisors, whose sum is σ = 1391630284800. Its totient is φ = 88850939904.

The previous prime is 387412459739. The next prime is 387412459787. The reversal of 387412459740 is 47954214783.

387412459740 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 1 + 2 + 4 + 597 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1116462247 + ... + 1116462593.

It is an arithmetic number, because the mean of its divisors is an integer number (1812018600).

Almost surely, 2^387412459740 is an apocalyptic number.

387412459740 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 387412459740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695815142400).

387412459740 is an abundant number, since it is smaller than the sum of its proper divisors (1004217825060).

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

387412459740 is a wasteful number, since it uses less digits than its factorization.

387412459740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 387412459740 in words is "three hundred eighty-seven billion, four hundred twelve million, four hundred fifty-nine thousand, seven hundred forty".