378882450 has 72 divisors (see below), whose sum is σ = 1062217728. Its totient is φ = 96639840.

The previous prime is 378882443. The next prime is 378882457. The reversal of 378882450 is 54288873.

It is an interprime number because it is at equal distance from previous prime (378882443) and next prime (378882457).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 378882396 and 378882405.

It is not an unprimeable number, because it can be changed into a prime (378882457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7954 + ... + 28653.

It is an arithmetic number, because the mean of its divisors is an integer number (14753024).

Almost surely, 2^378882450 is an apocalyptic number.

378882450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378882450 is an abundant number, since it is smaller than the sum of its proper divisors (683335278).

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

378882450 is a wasteful number, since it uses less digits than its factorization.

378882450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36648 (or 36640 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 378882450 is about 19464.9030308399. The cubic root of 378882450 is about 723.6048954269.

The spelling of 378882450 in words is "three hundred seventy-eight million, eight hundred eighty-two thousand, four hundred fifty".