407982792 has 64 divisors (see below), whose sum is σ = 1174118400. Its totient is φ = 115721280.

The previous prime is 407982769. The next prime is 407982793. The reversal of 407982792 is 297289704.

It is not an unprimeable number, because it can be changed into a prime (407982793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14617 + ... + 32087.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^407982792 is an apocalyptic number.

407982792 is a gapful number since it is divisible by the number (42) 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 407982792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

407982792 is an abundant number, since it is smaller than the sum of its proper divisors (766135608).

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

407982792 is a wasteful number, since it uses less digits than its factorization.

407982792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17626 (or 17622 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 407982792 is about 20198.5839107597. The cubic root of 407982792 is about 741.6755264747.

The spelling of 407982792 in words is "four hundred seven million, nine hundred eighty-two thousand, seven hundred ninety-two".