407962960 has 40 divisors (see below), whose sum is σ = 989758080. Its totient is φ = 156089472.

The previous prime is 407962949. The next prime is 407962963. The reversal of 407962960 is 69269704.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407962963) 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, 109020 + ... + 112699.

It is an arithmetic number, because the mean of its divisors is an integer number (24743952).

Almost surely, 2^407962960 is an apocalyptic number.

407962960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407962960 is an abundant number, since it is smaller than the sum of its proper divisors (581795120).

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

407962960 is a wasteful number, since it uses less digits than its factorization.

407962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221755 (or 221749 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 407962960 is about 20198.0929792889. The cubic root of 407962960 is about 741.6635086906.

The spelling of 407962960 in words is "four hundred seven million, nine hundred sixty-two thousand, nine hundred sixty".