407928976 has 80 divisors (see below), whose sum is σ = 976437504. Its totient is φ = 160768512.

The previous prime is 407928973. The next prime is 407928979. The reversal of 407928976 is 679829704.

It is an interprime number because it is at equal distance from previous prime (407928973) and next prime (407928979).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (407928973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732090 + ... + 732646.

Almost surely, 2^407928976 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 407928976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488218752).

407928976 is an abundant number, since it is smaller than the sum of its proper divisors (568508528).

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

407928976 is a wasteful number, since it uses less digits than its factorization.

407928976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The square root of 407928976 is about 20197.2516942281. The cubic root of 407928976 is about 741.6429141799.

The spelling of 407928976 in words is "four hundred seven million, nine hundred twenty-eight thousand, nine hundred seventy-six".