380625000 has 256 divisors, whose sum is σ = 1406246400. Its totient is φ = 84000000.

The previous prime is 380624983. The next prime is 380625013. The reversal of 380625000 is 526083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13124986 + ... + 13125014.

It is an arithmetic number, because the mean of its divisors is an integer number (5493150).

Almost surely, 2^380625000 is an apocalyptic number.

380625000 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 380625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703123200).

380625000 is an abundant number, since it is smaller than the sum of its proper divisors (1025621400).

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

380625000 is an frugal number, since it uses more digits than its factorization.

380625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 380625000 is about 19509.6130151267. The cubic root of 380625000 is about 724.7125297082.

The spelling of 380625000 in words is "three hundred eighty million, six hundred twenty-five thousand".