384402480 has 480 divisors, whose sum is σ = 1570566144. Its totient is φ = 76032000.

The previous prime is 384402479. The next prime is 384402493. The reversal of 384402480 is 84204483.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6301650 + ... + 6301710.

Almost surely, 2^384402480 is an apocalyptic number.

384402480 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 384402480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785283072).

384402480 is an abundant number, since it is smaller than the sum of its proper divisors (1186163664).

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

384402480 is a wasteful number, since it uses less digits than its factorization.

384402480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 384402480 is about 19606.1847384951. The cubic root of 384402480 is about 727.1020910661.

The spelling of 384402480 in words is "three hundred eighty-four million, four hundred two thousand, four hundred eighty".