382620480 has 224 divisors, whose sum is σ = 1395740160. Its totient is φ = 87828480.

The previous prime is 382620473. The next prime is 382620541. The reversal of 382620480 is 84026283.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199687 + ... + 201593.

Almost surely, 2^382620480 is an apocalyptic number.

382620480 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 382620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697870080).

382620480 is an abundant number, since it is smaller than the sum of its proper divisors (1013119680).

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

382620480 is a wasteful number, since it uses less digits than its factorization.

382620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 382620480 is about 19560.6871044961. The cubic root of 382620480 is about 725.9767919787.

The spelling of 382620480 in words is "three hundred eighty-two million, six hundred twenty thousand, four hundred eighty".