407965880 has 32 divisors (see below), whose sum is σ = 1049055840. Its totient is φ = 139873920.

The previous prime is 407965871. The next prime is 407965889. The reversal of 407965880 is 88569704.

It is an interprime number because it is at equal distance from previous prime (407965871) and next prime (407965889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407965889) 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, 728231 + ... + 728790.

It is an arithmetic number, because the mean of its divisors is an integer number (32782995).

Almost surely, 2^407965880 is an apocalyptic number.

407965880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407965880 is an abundant number, since it is smaller than the sum of its proper divisors (641089960).

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

407965880 is a wasteful number, since it uses less digits than its factorization.

407965880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457039 (or 1457035 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 407965880 is about 20198.1652632114. The cubic root of 407965880 is about 741.6652781750.

The spelling of 407965880 in words is "four hundred seven million, nine hundred sixty-five thousand, eight hundred eighty".