376516440 has 192 divisors, whose sum is σ = 1312459200. Its totient is φ = 93367296.

The previous prime is 376516429. The next prime is 376516453. The reversal of 376516440 is 44615673.

It is a happy number.

376516440 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 1 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 376516395 and 376516404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305746 + ... + 306974.

It is an arithmetic number, because the mean of its divisors is an integer number (6835725).

Almost surely, 2^376516440 is an apocalyptic number.

376516440 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 376516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656229600).

376516440 is an abundant number, since it is smaller than the sum of its proper divisors (935942760).

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

376516440 is a wasteful number, since it uses less digits than its factorization.

376516440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 376516440 is about 19404.0315398630. The cubic root of 376516440 is about 722.0955155847.

The spelling of 376516440 in words is "three hundred seventy-six million, five hundred sixteen thousand, four hundred forty".