380451493200 has 480 divisors, whose sum is σ = 1361167165440. Its totient is φ = 90270720000.

The previous prime is 380451493189. The next prime is 380451493277. The reversal of 380451493200 is 2394154083.

It is a congruent number.

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, 291086947 + ... + 291088253.

It is an arithmetic number, because the mean of its divisors is an integer number (2835764928).

Almost surely, 2^380451493200 is an apocalyptic number.

380451493200 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 380451493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680583582720).

380451493200 is an abundant number, since it is smaller than the sum of its proper divisors (980715672240).

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

380451493200 is a wasteful number, since it uses less digits than its factorization.

380451493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 380451493200 in words is "three hundred eighty billion, four hundred fifty-one million, four hundred ninety-three thousand, two hundred".