376649280 has 504 divisors, whose sum is σ = 1605841848. Its totient is φ = 80510976.

The previous prime is 376649261. The next prime is 376649281. The reversal of 376649280 is 82946673.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 329204736 = 6888^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376649281) 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 71 ways as a sum of consecutive naturals, for example, 2398962 + ... + 2399118.

Almost surely, 2^376649280 is an apocalyptic number.

376649280 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 376649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802920924).

376649280 is an abundant number, since it is smaller than the sum of its proper divisors (1229192568).

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

376649280 is a wasteful number, since it uses less digits than its factorization.

376649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 376649280 is about 19407.4542379983. The cubic root of 376649280 is about 722.1804272285.

The spelling of 376649280 in words is "three hundred seventy-six million, six hundred forty-nine thousand, two hundred eighty".