407485440 has 264 divisors, whose sum is σ = 1456153920. Its totient is φ = 105283584.

The previous prime is 407485439. The next prime is 407485453. The reversal of 407485440 is 44584704.

407485440 is a `hidden beast` number, since 40 + 74 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 407485395 and 407485404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704841 + ... + 1705079.

Almost surely, 2^407485440 is an apocalyptic number.

407485440 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 407485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728076960).

407485440 is an abundant number, since it is smaller than the sum of its proper divisors (1048668480).

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

407485440 is a wasteful number, since it uses less digits than its factorization.

407485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 407485440 is about 20186.2686002144. The cubic root of 407485440 is about 741.3740237256.

The spelling of 407485440 in words is "four hundred seven million, four hundred eighty-five thousand, four hundred forty".