387096480 has 72 divisors (see below), whose sum is σ = 1320971652. Its totient is φ = 103225344.

The previous prime is 387096469. The next prime is 387096497. The reversal of 387096480 is 84690783.

It is a happy number.

387096480 is a `hidden beast` number, since 3 + 87 + 0 + 96 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386830224 + 266256 = 19668^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132969 + ... + 135848.

Almost surely, 2^387096480 is an apocalyptic number.

387096480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387096480 is an abundant number, since it is smaller than the sum of its proper divisors (933875172).

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

387096480 is a wasteful number, since it uses less digits than its factorization.

387096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268838 (or 268827 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 387096480 is about 19674.7675971026. The cubic root of 387096480 is about 728.7967166205.

The spelling of 387096480 in words is "three hundred eighty-seven million, ninety-six thousand, four hundred eighty".