407414480 has 80 divisors (see below), whose sum is σ = 1038308544. Its totient is φ = 147440640.

The previous prime is 407414477. The next prime is 407414489. The reversal of 407414480 is 84414704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407414489) 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, 204047 + ... + 206033.

Almost surely, 2^407414480 is an apocalyptic number.

407414480 is a gapful number since it is divisible by the number (40) 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 407414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519154272).

407414480 is an abundant number, since it is smaller than the sum of its proper divisors (630894064).

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

407414480 is a wasteful number, since it uses less digits than its factorization.

407414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 407414480 is about 20184.5108932567. The cubic root of 407414480 is about 741.3309866421.

The spelling of 407414480 in words is "four hundred seven million, four hundred fourteen thousand, four hundred eighty".