380436480 has 272 divisors, whose sum is σ = 1384109760. Its totient is φ = 99090432.

The previous prime is 380436457. The next prime is 380436481. The reversal of 380436480 is 84634083.

380436480 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 3 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380436481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847339 + ... + 8847381.

Almost surely, 2^380436480 is an apocalyptic number.

380436480 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 380436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692054880).

380436480 is an abundant number, since it is smaller than the sum of its proper divisors (1003673280).

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

380436480 is an frugal number, since it uses more digits than its factorization.

380436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 380436480 is about 19504.7809523717. The cubic root of 380436480 is about 724.5928621716.

The spelling of 380436480 in words is "three hundred eighty million, four hundred thirty-six thousand, four hundred eighty".