387470491920 has 200 divisors, whose sum is σ = 1346180635800. Its totient is φ = 103291822080.

The previous prime is 387470491913. The next prime is 387470491981. The reversal of 387470491920 is 29194074783.

387470491920 is a `hidden beast` number, since 3 + 87 + 4 + 70 + 491 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50657405184 + 336813086736 = 225072^2 + 580356^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24752256 + ... + 24767904.

It is an arithmetic number, because the mean of its divisors is an integer number (6730903179).

Almost surely, 2^387470491920 is an apocalyptic number.

387470491920 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 387470491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673090317900).

387470491920 is an abundant number, since it is smaller than the sum of its proper divisors (958710143880).

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

387470491920 is a wasteful number, since it uses less digits than its factorization.

387470491920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19480 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 387470491920 in words is "three hundred eighty-seven billion, four hundred seventy million, four hundred ninety-one thousand, nine hundred twenty".