384526480 has 80 divisors (see below), whose sum is σ = 993936384. Its totient is φ = 137387520.

The previous prime is 384526469. The next prime is 384526529. The reversal of 384526480 is 84625483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×384526480² = 295721227642380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26277 + ... + 38203.

Almost surely, 2^384526480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384526480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496968192).

384526480 is an abundant number, since it is smaller than the sum of its proper divisors (609409904).

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

384526480 is a wasteful number, since it uses less digits than its factorization.

384526480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 384526480 is about 19609.3467509757. The cubic root of 384526480 is about 727.1802651771.

The spelling of 384526480 in words is "three hundred eighty-four million, five hundred twenty-six thousand, four hundred eighty".