380520000 has 420 divisors, whose sum is σ = 1567948096. Its totient is φ = 86400000.

The previous prime is 380519999. The next prime is 380520079. The reversal of 380520000 is 25083.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519925 + ... + 2520075.

Almost surely, 2^380520000 is an apocalyptic number.

380520000 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 380520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783974048).

380520000 is an abundant number, since it is smaller than the sum of its proper divisors (1187428096).

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

380520000 is a wasteful number, since it uses less digits than its factorization.

380520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 380520000 is about 19506.9218484106. The cubic root of 380520000 is about 724.6458833468.

Adding to 380520000 its reverse (25083), we get a palindrome (380545083).

The spelling of 380520000 in words is "three hundred eighty million, five hundred twenty thousand".