407838976 has 72 divisors (see below), whose sum is σ = 890072064. Its totient is φ = 185671680.

The previous prime is 407838973. The next prime is 407838989. The reversal of 407838976 is 679838704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407838973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133401 + ... + 136423.

It is an arithmetic number, because the mean of its divisors is an integer number (12362112).

Almost surely, 2^407838976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032).

407838976 is an abundant number, since it is smaller than the sum of its proper divisors (482233088).

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

407838976 is a wasteful number, since it uses less digits than its factorization.

407838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 407838976 is about 20195.0235454183. The cubic root of 407838976 is about 741.5883681065.

The spelling of 407838976 in words is "four hundred seven million, eight hundred thirty-eight thousand, nine hundred seventy-six".