376824240 has 240 divisors, whose sum is σ = 1377911808. Its totient is φ = 91736064.

The previous prime is 376824199. The next prime is 376824241. The reversal of 376824240 is 42428673.

376824240 is a `hidden beast` number, since 376 + 8 + 242 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 376824195 and 376824204.

It is not an unprimeable number, because it can be changed into a prime (376824241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188562 + ... + 1188878.

Almost surely, 2^376824240 is an apocalyptic number.

376824240 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 376824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688955904).

376824240 is an abundant number, since it is smaller than the sum of its proper divisors (1001087568).

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

376824240 is a wasteful number, since it uses less digits than its factorization.

376824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 376824240 is about 19411.9612610370. The cubic root of 376824240 is about 722.2922316179.

The spelling of 376824240 in words is "three hundred seventy-six million, eight hundred twenty-four thousand, two hundred forty".