380478659400 has 1008 divisors, whose sum is σ = 1624635637200. Its totient is φ = 82359970560.

The previous prime is 380478659389. The next prime is 380478659411. The reversal of 380478659400 is 4956874083.

380478659400 is a `hidden beast` number, since 3 + 8 + 0 + 47 + 8 + 6 + 594 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (380478659389) and next prime (380478659411).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 135738399 + ... + 135741201.

Almost surely, 2^380478659400 is an apocalyptic number.

380478659400 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 380478659400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812317818600).

380478659400 is an abundant number, since it is smaller than the sum of its proper divisors (1244156977800).

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

380478659400 is a wasteful number, since it uses less digits than its factorization.

380478659400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 380478659400 in words is "three hundred eighty billion, four hundred seventy-eight million, six hundred fifty-nine thousand, four hundred".