407665440 has 768 divisors, whose sum is σ = 1889879040. Its totient is φ = 79626240.

The previous prime is 407665439. The next prime is 407665471. The reversal of 407665440 is 44566704.

407665440 is a `hidden beast` number, since 40 + 76 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×407665440² = 332382221940787200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 407665395 and 407665404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6683010 + ... + 6683070.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^407665440 is an apocalyptic number.

407665440 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 407665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

407665440 is an abundant number, since it is smaller than the sum of its proper divisors (1482213600).

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

407665440 is a wasteful number, since it uses less digits than its factorization.

407665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 407665440 is about 20190.7265842515. The cubic root of 407665440 is about 741.4831709217.

The spelling of 407665440 in words is "four hundred seven million, six hundred sixty-five thousand, four hundred forty".